Finding the Third Proportional to 749,744,845,120 and 1,142,158,806,244.50
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Solution
The third proportional to 749,744,845,120 and 1,142,158,806,244.50 is: 1,739,960,930,939.20
Step by Step Solution
- Step 1: Write the proportion equation
749,744,845,120 : 1,142,158,806,244.50 = 1,142,158,806,244.50 : x - Step 2: Convert to fraction form
749,744,845,120/1,142,158,806,244.50 = 1,142,158,806,244.50/x - Step 3: Cross multiply
749,744,845,120x = 1,142,158,806,244.50 × 1,142,158,806,244.50 - Step 4: Simplify right side
749,744,845,120x = 1,304,526,738,681,861,177,868,288 - Step 5: Solve for x
x = 1,304,526,738,681,861,177,868,288/749,744,845,120 - Step 6: Final answer
x = 1,739,960,930,939.20
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.