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Finding the Third Proportional to 9,123,470.25 and 12,755,148.38

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Solution

The third proportional to 9,123,470.25 and 12,755,148.38 is: 17,832,448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123,470.25 : 12,755,148.38 = 12,755,148.38 : x
  2. Step 2: Convert to fraction form
    9,123,470.25/12,755,148.38 = 12,755,148.38/x
  3. Step 3: Cross multiply
    9,123,470.25x = 12,755,148.38 × 12,755,148.38
  4. Step 4: Simplify right side
    9,123,470.25x = 162,693,810,068,265.12
  5. Step 5: Solve for x
    x = 162,693,810,068,265.12/9,123,470.25
  6. Step 6: Final answer
    x = 17,832,448.14

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.