Using triangle proportionality theorem to prove parallel lines

The video tutorial covers the triangle proportionality theorem, reviewing previous class notes and explaining how to set up and calculate proportions to prove line equality. The instructor demonstrates using given values and cross multiplication to find the necessary values, concluding that for certain values, lines are parallel.

What is the result of the cross multiplication in the example?

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What conclusion can be drawn if the value of X is found to be 2/3?

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