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Finding the Third Proportional to 681,694,222 and 1,472,350,292

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Solution

The third proportional to 681,694,222 and 1,472,350,292 is: 3,180,040,716.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,694,222 : 1,472,350,292 = 1,472,350,292 : x
  2. Step 2: Convert to fraction form
    681,694,222/1,472,350,292 = 1,472,350,292/x
  3. Step 3: Cross multiply
    681,694,222x = 1,472,350,292 × 1,472,350,292
  4. Step 4: Simplify right side
    681,694,222x = 2,167,815,382,352,485,376
  5. Step 5: Solve for x
    x = 2,167,815,382,352,485,376/681,694,222
  6. Step 6: Final answer
    x = 3,180,040,716.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.