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Finding the Third Proportional to 413,703,251,363 and 582,331,476,355

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Solution

The third proportional to 413,703,251,363 and 582,331,476,355 is: 819,693,698,892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,703,251,363 : 582,331,476,355 = 582,331,476,355 : x
  2. Step 2: Convert to fraction form
    413,703,251,363/582,331,476,355 = 582,331,476,355/x
  3. Step 3: Cross multiply
    413,703,251,363x = 582,331,476,355 × 582,331,476,355
  4. Step 4: Simplify right side
    413,703,251,363x = 339,109,948,353,793,929,248,768
  5. Step 5: Solve for x
    x = 339,109,948,353,793,929,248,768/413,703,251,363
  6. Step 6: Final answer
    x = 819,693,698,892.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.