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Finding the Third Proportional to 17,951,940 and 38,947,464

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Solution

The third proportional to 17,951,940 and 38,947,464 is: 84,498,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,951,940 : 38,947,464 = 38,947,464 : x
  2. Step 2: Convert to fraction form
    17,951,940/38,947,464 = 38,947,464/x
  3. Step 3: Cross multiply
    17,951,940x = 38,947,464 × 38,947,464
  4. Step 4: Simplify right side
    17,951,940x = 1,516,904,952,031,296
  5. Step 5: Solve for x
    x = 1,516,904,952,031,296/17,951,940
  6. Step 6: Final answer
    x = 84,498,107.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.