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Finding the Third Proportional to 180,449,616 and 270,729,720

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Solution

The third proportional to 180,449,616 and 270,729,720 is: 406,177,540.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,449,616 : 270,729,720 = 270,729,720 : x
  2. Step 2: Convert to fraction form
    180,449,616/270,729,720 = 270,729,720/x
  3. Step 3: Cross multiply
    180,449,616x = 270,729,720 × 270,729,720
  4. Step 4: Simplify right side
    180,449,616x = 73,294,581,291,278,400
  5. Step 5: Solve for x
    x = 73,294,581,291,278,400/180,449,616
  6. Step 6: Final answer
    x = 406,177,540.94

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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.