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Finding the Third Proportional to 127,182,817 and 275,494,311

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Solution

The third proportional to 127,182,817 and 275,494,311 is: 596,756,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,182,817 : 275,494,311 = 275,494,311 : x
  2. Step 2: Convert to fraction form
    127,182,817/275,494,311 = 275,494,311/x
  3. Step 3: Cross multiply
    127,182,817x = 275,494,311 × 275,494,311
  4. Step 4: Simplify right side
    127,182,817x = 75,897,115,393,364,720
  5. Step 5: Solve for x
    x = 75,897,115,393,364,720/127,182,817
  6. Step 6: Final answer
    x = 596,756,049.16

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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.