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Finding the Third Proportional to 558,882,790,721 and 1,215,687,625,162

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Solution

The third proportional to 558,882,790,721 and 1,215,687,625,162 is: 2,644,376,292,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,882,790,721 : 1,215,687,625,162 = 1,215,687,625,162 : x
  2. Step 2: Convert to fraction form
    558,882,790,721/1,215,687,625,162 = 1,215,687,625,162/x
  3. Step 3: Cross multiply
    558,882,790,721x = 1,215,687,625,162 × 1,215,687,625,162
  4. Step 4: Simplify right side
    558,882,790,721x = 1,477,896,401,972,023,407,935,488
  5. Step 5: Solve for x
    x = 1,477,896,401,972,023,407,935,488/558,882,790,721
  6. Step 6: Final answer
    x = 2,644,376,292,326.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.