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Finding the Third Proportional to 47,342,344 and 101,998,016

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Solution

The third proportional to 47,342,344 and 101,998,016 is: 219,752,432.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,342,344 : 101,998,016 = 101,998,016 : x
  2. Step 2: Convert to fraction form
    47,342,344/101,998,016 = 101,998,016/x
  3. Step 3: Cross multiply
    47,342,344x = 101,998,016 × 101,998,016
  4. Step 4: Simplify right side
    47,342,344x = 10,403,595,267,936,256
  5. Step 5: Solve for x
    x = 10,403,595,267,936,256/47,342,344
  6. Step 6: Final answer
    x = 219,752,432.79

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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.