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Finding the Third Proportional to 47,015,622 and 71,234,493

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Solution

The third proportional to 47,015,622 and 71,234,493 is: 107,929,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,015,622 : 71,234,493 = 71,234,493 : x
  2. Step 2: Convert to fraction form
    47,015,622/71,234,493 = 71,234,493/x
  3. Step 3: Cross multiply
    47,015,622x = 71,234,493 × 71,234,493
  4. Step 4: Simplify right side
    47,015,622x = 5,074,352,992,967,049
  5. Step 5: Solve for x
    x = 5,074,352,992,967,049/47,015,622
  6. Step 6: Final answer
    x = 107,929,083.51

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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.