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Finding the Third Proportional to 123,040,470 and 267,205,217

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Solution

The third proportional to 123,040,470 and 267,205,217 is: 580,285,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,040,470 : 267,205,217 = 267,205,217 : x
  2. Step 2: Convert to fraction form
    123,040,470/267,205,217 = 267,205,217/x
  3. Step 3: Cross multiply
    123,040,470x = 267,205,217 × 267,205,217
  4. Step 4: Simplify right side
    123,040,470x = 71,398,627,992,017,088
  5. Step 5: Solve for x
    x = 71,398,627,992,017,088/123,040,470
  6. Step 6: Final answer
    x = 580,285,722.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.