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Finding the Third Proportional to 47,015,530 and 71,234,352

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Solution

The third proportional to 47,015,530 and 71,234,352 is: 107,928,867.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,015,530 : 71,234,352 = 71,234,352 : x
  2. Step 2: Convert to fraction form
    47,015,530/71,234,352 = 71,234,352/x
  3. Step 3: Cross multiply
    47,015,530x = 71,234,352 × 71,234,352
  4. Step 4: Simplify right side
    47,015,530x = 5,074,332,904,859,904
  5. Step 5: Solve for x
    x = 5,074,332,904,859,904/47,015,530
  6. Step 6: Final answer
    x = 107,928,867.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.