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Finding the Third Proportional to 127,180,976 and 275,490,450.50

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Solution

The third proportional to 127,180,976 and 275,490,450.50 is: 596,747,962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,180,976 : 275,490,450.50 = 275,490,450.50 : x
  2. Step 2: Convert to fraction form
    127,180,976/275,490,450.50 = 275,490,450.50/x
  3. Step 3: Cross multiply
    127,180,976x = 275,490,450.50 × 275,490,450.50
  4. Step 4: Simplify right side
    127,180,976x = 75,894,988,316,692,944
  5. Step 5: Solve for x
    x = 75,894,988,316,692,944/127,180,976
  6. Step 6: Final answer
    x = 596,747,962.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.