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Finding the Third Proportional to 275,074,518 and 411,522,546

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Solution

The third proportional to 275,074,518 and 411,522,546 is: 615,654,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,074,518 : 411,522,546 = 411,522,546 : x
  2. Step 2: Convert to fraction form
    275,074,518/411,522,546 = 411,522,546/x
  3. Step 3: Cross multiply
    275,074,518x = 411,522,546 × 411,522,546
  4. Step 4: Simplify right side
    275,074,518x = 169,350,805,866,322,112
  5. Step 5: Solve for x
    x = 169,350,805,866,322,112/275,074,518
  6. Step 6: Final answer
    x = 615,654,285.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.