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Finding the Third Proportional to 664,260,124 and 1,427,098,241

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Solution

The third proportional to 664,260,124 and 1,427,098,241 is: 3,065,981,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,260,124 : 1,427,098,241 = 1,427,098,241 : x
  2. Step 2: Convert to fraction form
    664,260,124/1,427,098,241 = 1,427,098,241/x
  3. Step 3: Cross multiply
    664,260,124x = 1,427,098,241 × 1,427,098,241
  4. Step 4: Simplify right side
    664,260,124x = 2,036,609,389,465,294,080
  5. Step 5: Solve for x
    x = 2,036,609,389,465,294,080/664,260,124
  6. Step 6: Final answer
    x = 3,065,981,707.89

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