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Finding the Third Proportional to 269,187,876 and 585,614,952

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Solution

The third proportional to 269,187,876 and 585,614,952 is: 1,273,998,209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,187,876 : 585,614,952 = 585,614,952 : x
  2. Step 2: Convert to fraction form
    269,187,876/585,614,952 = 585,614,952/x
  3. Step 3: Cross multiply
    269,187,876x = 585,614,952 × 585,614,952
  4. Step 4: Simplify right side
    269,187,876x = 342,944,872,005,962,304
  5. Step 5: Solve for x
    x = 342,944,872,005,962,304/269,187,876
  6. Step 6: Final answer
    x = 1,273,998,209.36

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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.