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Finding the Third Proportional to 3,588,681,061,663 and 7,721,651,873,531

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Solution

The third proportional to 3,588,681,061,663 and 7,721,651,873,531 is: 16,614,434,838,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588,681,061,663 : 7,721,651,873,531 = 7,721,651,873,531 : x
  2. Step 2: Convert to fraction form
    3,588,681,061,663/7,721,651,873,531 = 7,721,651,873,531/x
  3. Step 3: Cross multiply
    3,588,681,061,663x = 7,721,651,873,531 × 7,721,651,873,531
  4. Step 4: Simplify right side
    3,588,681,061,663x = 59,623,907,656,004,805,291,147,264
  5. Step 5: Solve for x
    x = 59,623,907,656,004,805,291,147,264/3,588,681,061,663
  6. Step 6: Final answer
    x = 16,614,434,838,735.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.