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Finding the Third Proportional to 271,894,131 and 415,643,499

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Solution

The third proportional to 271,894,131 and 415,643,499 is: 635,392,597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,894,131 : 415,643,499 = 415,643,499 : x
  2. Step 2: Convert to fraction form
    271,894,131/415,643,499 = 415,643,499/x
  3. Step 3: Cross multiply
    271,894,131x = 415,643,499 × 415,643,499
  4. Step 4: Simplify right side
    271,894,131x = 172,759,518,260,963,008
  5. Step 5: Solve for x
    x = 172,759,518,260,963,008/271,894,131
  6. Step 6: Final answer
    x = 635,392,597.94

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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.