00:00We are currently at the second property of binary proportion, part of the topic of proportion.
00:04In the first one.
00:05Now, friends, we said that the inside and outside elements can swap places with each other.
00:10Inside and outside elements can swap places with each other.
00:27Here's how it happens, folks.
00:28If A divided by B equals C divided by D, which equals K, what will happen next, friends?
00:36C and B will swap places here.
00:39A divided by C equals B divided by D, which equals K = 1.
00:45It will be a different value than K.
00:47And similarly, friends B and C can switch places with each other.
00:51I tried to show it.
00:53Secondly, friends, A divided by B, which is C divided by D, equals K.
01:00Now, friends, you can switch between these two.
01:04D divided by B equals C divided by A, which equals K².
01:11Let's give an example right away, folks.
01:20If 10 divided by 12 is equal to 15 divided by 18, and that equals K, then what is our constant K here? Let's adapt this to...
01:30Let's work.
01:31Our constant K, when divided by 2, gives 5/6, and when divided by 3, gives 5/6, so K is 5/6.
01:40Now, 10 divided by 12, which equals 15 divided by 18, which equals 5 divided by 6, is equal to the constant K, folks.
01:51What are we going to do here, guys?
01:53What are we going to do here, guys?
01:53First, we're going to swap these two.
01:5510 divided by 15 could be equal to 12 divided by 18.
02:00Let's say that's equal to K1.
02:03So what happened to our K1, guys?
02:06Dividing by 5 gives 2, dividing by 5 gives 3, dividing by 6 gives 2, dividing by 6 gives 3.
02:11So, it's 2/3 here.
02:14Now, in general, friends, it's the same way: 10 divided by 12 equals 15 divided by 18, which equals 5 divided by 6, which equals...
02:21if it equals K.
02:23So, what are we going to change now, guys?
02:25Of course we're going to change these two, right?
02:2818 divided by 12 is equal to 15 divided by 10, which is K².
02:37What is our K2 here, guys?
02:396 divided by 3, 6 divided by 2, which gives 3 divided by 2.
02:42Did he get it from here?
02:43Friends, since the two are ultimately proportional, they need to be equal.
02:465 divided by 3 became 5 divided by 2, and then 3 divided by 2.
02:49As you can see, the opposite happened.
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