Finding the Third Proportional to 35,042,344,656,006 and 51,513,801,168,969
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Solution
The third proportional to 35,042,344,656,006 and 51,513,801,168,969 is: 75,727,572,938,566.27
Step by Step Solution
- Step 1: Write the proportion equation
35,042,344,656,006 : 51,513,801,168,969 = 51,513,801,168,969 : x - Step 2: Convert to fraction form
35,042,344,656,006/51,513,801,168,969 = 51,513,801,168,969/x - Step 3: Cross multiply
35,042,344,656,006x = 51,513,801,168,969 × 51,513,801,168,969 - Step 4: Simplify right side
35,042,344,656,006x = 2,653,671,710,876,072,163,621,732,352 - Step 5: Solve for x
x = 2,653,671,710,876,072,163,621,732,352/35,042,344,656,006 - Step 6: Final answer
x = 75,727,572,938,566.27
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.