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Finding the Third Proportional to 127,198,624 and 274,540,976

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Solution

The third proportional to 127,198,624 and 274,540,976 is: 592,559,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,198,624 : 274,540,976 = 274,540,976 : x
  2. Step 2: Convert to fraction form
    127,198,624/274,540,976 = 274,540,976/x
  3. Step 3: Cross multiply
    127,198,624x = 274,540,976 × 274,540,976
  4. Step 4: Simplify right side
    127,198,624x = 75,372,747,503,032,576
  5. Step 5: Solve for x
    x = 75,372,747,503,032,576/127,198,624
  6. Step 6: Final answer
    x = 592,559,456.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.