Divide the segment given in Problem 57 into two parts in a 3-to-7 ratio.

Data from problem 57

A useful theorem that uses proportionality, but not triangles, is the following: If two lines connect the endpoints of parallel segments of different lengths, then a line through the intersection of the two lines connecting those endpoints divides the parallel segments proportionally. (See Figure 7.53.)

 Figure 7.53

Using this result, divide the following line segment into a 2-to-3 ratio:

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