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Finding the Third Proportional to 367,918,512 and 801,155,472

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Solution

The third proportional to 367,918,512 and 801,155,472 is: 1,744,544,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,918,512 : 801,155,472 = 801,155,472 : x
  2. Step 2: Convert to fraction form
    367,918,512/801,155,472 = 801,155,472/x
  3. Step 3: Cross multiply
    367,918,512x = 801,155,472 × 801,155,472
  4. Step 4: Simplify right side
    367,918,512x = 641,850,090,315,542,784
  5. Step 5: Solve for x
    x = 641,850,090,315,542,784/367,918,512
  6. Step 6: Final answer
    x = 1,744,544,156.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.