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Finding the Third Proportional to 664,260,132 and 1,427,098,257

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Solution

The third proportional to 664,260,132 and 1,427,098,257 is: 3,065,981,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,260,132 : 1,427,098,257 = 1,427,098,257 : x
  2. Step 2: Convert to fraction form
    664,260,132/1,427,098,257 = 1,427,098,257/x
  3. Step 3: Cross multiply
    664,260,132x = 1,427,098,257 × 1,427,098,257
  4. Step 4: Simplify right side
    664,260,132x = 2,036,609,435,132,438,016
  5. Step 5: Solve for x
    x = 2,036,609,435,132,438,016/664,260,132
  6. Step 6: Final answer
    x = 3,065,981,739.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.