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Finding the Third Proportional to 11,363,744 and 24,414,016

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Solution

The third proportional to 11,363,744 and 24,414,016 is: 52,451,390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,363,744 : 24,414,016 = 24,414,016 : x
  2. Step 2: Convert to fraction form
    11,363,744/24,414,016 = 24,414,016/x
  3. Step 3: Cross multiply
    11,363,744x = 24,414,016 × 24,414,016
  4. Step 4: Simplify right side
    11,363,744x = 596,044,177,248,256
  5. Step 5: Solve for x
    x = 596,044,177,248,256/11,363,744
  6. Step 6: Final answer
    x = 52,451,390.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.