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Finding the Third Proportional to 14,691,464 and 31,743,592

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Solution

The third proportional to 14,691,464 and 31,743,592 is: 68,587,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691,464 : 31,743,592 = 31,743,592 : x
  2. Step 2: Convert to fraction form
    14,691,464/31,743,592 = 31,743,592/x
  3. Step 3: Cross multiply
    14,691,464x = 31,743,592 × 31,743,592
  4. Step 4: Simplify right side
    14,691,464x = 1,007,655,633,062,464
  5. Step 5: Solve for x
    x = 1,007,655,633,062,464/14,691,464
  6. Step 6: Final answer
    x = 68,587,829.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.