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Finding the Third Proportional to 664,260,128 and 1,427,098,249

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Solution

The third proportional to 664,260,128 and 1,427,098,249 is: 3,065,981,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,260,128 : 1,427,098,249 = 1,427,098,249 : x
  2. Step 2: Convert to fraction form
    664,260,128/1,427,098,249 = 1,427,098,249/x
  3. Step 3: Cross multiply
    664,260,128x = 1,427,098,249 × 1,427,098,249
  4. Step 4: Simplify right side
    664,260,128x = 2,036,609,412,298,865,920
  5. Step 5: Solve for x
    x = 2,036,609,412,298,865,920/664,260,128
  6. Step 6: Final answer
    x = 3,065,981,723.80

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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.