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Finding the Third Proportional to 234,866,320 and 491,147,744

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Solution

The third proportional to 234,866,320 and 491,147,744 is: 1,027,078,324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,866,320 : 491,147,744 = 491,147,744 : x
  2. Step 2: Convert to fraction form
    234,866,320/491,147,744 = 491,147,744/x
  3. Step 3: Cross multiply
    234,866,320x = 491,147,744 × 491,147,744
  4. Step 4: Simplify right side
    234,866,320x = 241,226,106,436,289,536
  5. Step 5: Solve for x
    x = 241,226,106,436,289,536/234,866,320
  6. Step 6: Final answer
    x = 1,027,078,324.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.