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Finding the Third Proportional to 681,694,220 and 1,472,350,288

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Solution

The third proportional to 681,694,220 and 1,472,350,288 is: 3,180,040,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,694,220 : 1,472,350,288 = 1,472,350,288 : x
  2. Step 2: Convert to fraction form
    681,694,220/1,472,350,288 = 1,472,350,288/x
  3. Step 3: Cross multiply
    681,694,220x = 1,472,350,288 × 1,472,350,288
  4. Step 4: Simplify right side
    681,694,220x = 2,167,815,370,573,682,944
  5. Step 5: Solve for x
    x = 2,167,815,370,573,682,944/681,694,220
  6. Step 6: Final answer
    x = 3,180,040,708.83

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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.