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Finding the Third Proportional to 47,445,768 and 103,591,422

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Solution

The third proportional to 47,445,768 and 103,591,422 is: 226,177,869.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,445,768 : 103,591,422 = 103,591,422 : x
  2. Step 2: Convert to fraction form
    47,445,768/103,591,422 = 103,591,422/x
  3. Step 3: Cross multiply
    47,445,768x = 103,591,422 × 103,591,422
  4. Step 4: Simplify right side
    47,445,768x = 10,731,182,711,982,084
  5. Step 5: Solve for x
    x = 10,731,182,711,982,084/47,445,768
  6. Step 6: Final answer
    x = 226,177,869.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.