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Finding the Third Proportional to 271,770,951 and 415,560,519

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Solution

The third proportional to 271,770,951 and 415,560,519 is: 635,426,797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,770,951 : 415,560,519 = 415,560,519 : x
  2. Step 2: Convert to fraction form
    271,770,951/415,560,519 = 415,560,519/x
  3. Step 3: Cross multiply
    271,770,951x = 415,560,519 × 415,560,519
  4. Step 4: Simplify right side
    271,770,951x = 172,690,544,951,549,376
  5. Step 5: Solve for x
    x = 172,690,544,951,549,376/271,770,951
  6. Step 6: Final answer
    x = 635,426,797.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.