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Finding the Third Proportional to 14,557,331 and 31,159,561

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Solution

The third proportional to 14,557,331 and 31,159,561 is: 66,696,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557,331 : 31,159,561 = 31,159,561 : x
  2. Step 2: Convert to fraction form
    14,557,331/31,159,561 = 31,159,561/x
  3. Step 3: Cross multiply
    14,557,331x = 31,159,561 × 31,159,561
  4. Step 4: Simplify right side
    14,557,331x = 970,918,241,712,721
  5. Step 5: Solve for x
    x = 970,918,241,712,721/14,557,331
  6. Step 6: Final answer
    x = 66,696,171.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.