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Finding the Third Proportional to 558,883,850,331 and 1,215,690,059,862

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Solution

The third proportional to 558,883,850,331 and 1,215,690,059,862 is: 2,644,381,870,708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,883,850,331 : 1,215,690,059,862 = 1,215,690,059,862 : x
  2. Step 2: Convert to fraction form
    558,883,850,331/1,215,690,059,862 = 1,215,690,059,862/x
  3. Step 3: Cross multiply
    558,883,850,331x = 1,215,690,059,862 × 1,215,690,059,862
  4. Step 4: Simplify right side
    558,883,850,331x = 1,477,902,321,647,273,174,368,256
  5. Step 5: Solve for x
    x = 1,477,902,321,647,273,174,368,256/558,883,850,331
  6. Step 6: Final answer
    x = 2,644,381,870,708.88

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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.