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Finding the Third Proportional to 127,034,649 and 275,573,826

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Solution

The third proportional to 127,034,649 and 275,573,826 is: 597,797,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,034,649 : 275,573,826 = 275,573,826 : x
  2. Step 2: Convert to fraction form
    127,034,649/275,573,826 = 275,573,826/x
  3. Step 3: Cross multiply
    127,034,649x = 275,573,826 × 275,573,826
  4. Step 4: Simplify right side
    127,034,649x = 75,940,933,576,278,272
  5. Step 5: Solve for x
    x = 75,940,933,576,278,272/127,034,649
  6. Step 6: Final answer
    x = 597,797,011.87

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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.