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Finding the Third Proportional to 240,189,471 and 487,062,495

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Solution

The third proportional to 240,189,471 and 487,062,495 is: 987,678,073.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,189,471 : 487,062,495 = 487,062,495 : x
  2. Step 2: Convert to fraction form
    240,189,471/487,062,495 = 487,062,495/x
  3. Step 3: Cross multiply
    240,189,471x = 487,062,495 × 487,062,495
  4. Step 4: Simplify right side
    240,189,471x = 237,229,874,035,625,024
  5. Step 5: Solve for x
    x = 237,229,874,035,625,024/240,189,471
  6. Step 6: Final answer
    x = 987,678,073.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.