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Finding the Third Proportional to 337,121,250,789 and 795,545,811,564

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Solution

The third proportional to 337,121,250,789 and 795,545,811,564 is: 1,877,345,722,987.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,121,250,789 : 795,545,811,564 = 795,545,811,564 : x
  2. Step 2: Convert to fraction form
    337,121,250,789/795,545,811,564 = 795,545,811,564/x
  3. Step 3: Cross multiply
    337,121,250,789x = 795,545,811,564 × 795,545,811,564
  4. Step 4: Simplify right side
    337,121,250,789x = 632,893,138,297,023,331,565,568
  5. Step 5: Solve for x
    x = 632,893,138,297,023,331,565,568/337,121,250,789
  6. Step 6: Final answer
    x = 1,877,345,722,987.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.