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Finding the Third Proportional to 558,882,790,737 and 1,215,687,625,194

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Solution

The third proportional to 558,882,790,737 and 1,215,687,625,194 is: 2,644,376,292,390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,882,790,737 : 1,215,687,625,194 = 1,215,687,625,194 : x
  2. Step 2: Convert to fraction form
    558,882,790,737/1,215,687,625,194 = 1,215,687,625,194/x
  3. Step 3: Cross multiply
    558,882,790,737x = 1,215,687,625,194 × 1,215,687,625,194
  4. Step 4: Simplify right side
    558,882,790,737x = 1,477,896,402,049,827,545,808,896
  5. Step 5: Solve for x
    x = 1,477,896,402,049,827,545,808,896/558,882,790,737
  6. Step 6: Final answer
    x = 2,644,376,292,390.26

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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.