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Finding the Third Proportional to 10,384,257.38 and 22,761,258.75

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Solution

The third proportional to 10,384,257.38 and 22,761,258.75 is: 49,890,414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384,257.38 : 22,761,258.75 = 22,761,258.75 : x
  2. Step 2: Convert to fraction form
    10,384,257.38/22,761,258.75 = 22,761,258.75/x
  3. Step 3: Cross multiply
    10,384,257.38x = 22,761,258.75 × 22,761,258.75
  4. Step 4: Simplify right side
    10,384,257.38x = 518,074,899,884,451.56
  5. Step 5: Solve for x
    x = 518,074,899,884,451.56/10,384,257.38
  6. Step 6: Final answer
    x = 49,890,414.03

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