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Finding the Third Proportional to 271,894,039 and 415,643,363

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Solution

The third proportional to 271,894,039 and 415,643,363 is: 635,392,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,894,039 : 415,643,363 = 415,643,363 : x
  2. Step 2: Convert to fraction form
    271,894,039/415,643,363 = 415,643,363/x
  3. Step 3: Cross multiply
    271,894,039x = 415,643,363 × 415,643,363
  4. Step 4: Simplify right side
    271,894,039x = 172,759,405,205,949,760
  5. Step 5: Solve for x
    x = 172,759,405,205,949,760/271,894,039
  6. Step 6: Final answer
    x = 635,392,397.13

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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.