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Finding the Third Proportional to 664,260,122 and 1,427,098,237

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Solution

The third proportional to 664,260,122 and 1,427,098,237 is: 3,065,981,699.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,260,122 : 1,427,098,237 = 1,427,098,237 : x
  2. Step 2: Convert to fraction form
    664,260,122/1,427,098,237 = 1,427,098,237/x
  3. Step 3: Cross multiply
    664,260,122x = 1,427,098,237 × 1,427,098,237
  4. Step 4: Simplify right side
    664,260,122x = 2,036,609,378,048,508,160
  5. Step 5: Solve for x
    x = 2,036,609,378,048,508,160/664,260,122
  6. Step 6: Final answer
    x = 3,065,981,699.93

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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.