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Finding the Third Proportional to 9,712,469 and 20,981,110

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Solution

The third proportional to 9,712,469 and 20,981,110 is: 45,323,900.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712,469 : 20,981,110 = 20,981,110 : x
  2. Step 2: Convert to fraction form
    9,712,469/20,981,110 = 20,981,110/x
  3. Step 3: Cross multiply
    9,712,469x = 20,981,110 × 20,981,110
  4. Step 4: Simplify right side
    9,712,469x = 440,206,976,832,100
  5. Step 5: Solve for x
    x = 440,206,976,832,100/9,712,469
  6. Step 6: Final answer
    x = 45,323,900.32

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