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Finding the Third Proportional to 269,187,872 and 585,614,944

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Solution

The third proportional to 269,187,872 and 585,614,944 is: 1,273,998,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,187,872 : 585,614,944 = 585,614,944 : x
  2. Step 2: Convert to fraction form
    269,187,872/585,614,944 = 585,614,944/x
  3. Step 3: Cross multiply
    269,187,872x = 585,614,944 × 585,614,944
  4. Step 4: Simplify right side
    269,187,872x = 342,944,862,636,123,136
  5. Step 5: Solve for x
    x = 342,944,862,636,123,136/269,187,872
  6. Step 6: Final answer
    x = 1,273,998,193.49

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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.