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Finding the Third Proportional to 47,801,272 and 104,794,496

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Solution

The third proportional to 47,801,272 and 104,794,496 is: 229,740,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,801,272 : 104,794,496 = 104,794,496 : x
  2. Step 2: Convert to fraction form
    47,801,272/104,794,496 = 104,794,496/x
  3. Step 3: Cross multiply
    47,801,272x = 104,794,496 × 104,794,496
  4. Step 4: Simplify right side
    47,801,272x = 10,981,886,391,894,016
  5. Step 5: Solve for x
    x = 10,981,886,391,894,016/47,801,272
  6. Step 6: Final answer
    x = 229,740,463.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.