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Finding the Third Proportional to 125,456,731 and 271,760,492

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Solution

The third proportional to 125,456,731 and 271,760,492 is: 588,679,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,456,731 : 271,760,492 = 271,760,492 : x
  2. Step 2: Convert to fraction form
    125,456,731/271,760,492 = 271,760,492/x
  3. Step 3: Cross multiply
    125,456,731x = 271,760,492 × 271,760,492
  4. Step 4: Simplify right side
    125,456,731x = 73,853,765,012,082,064
  5. Step 5: Solve for x
    x = 73,853,765,012,082,064/125,456,731
  6. Step 6: Final answer
    x = 588,679,175.87

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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.