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Finding the Third Proportional to 485,323,679,656 and 1,055,120,539,940

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Solution

The third proportional to 485,323,679,656 and 1,055,120,539,940 is: 2,293,890,449,755.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,323,679,656 : 1,055,120,539,940 = 1,055,120,539,940 : x
  2. Step 2: Convert to fraction form
    485,323,679,656/1,055,120,539,940 = 1,055,120,539,940/x
  3. Step 3: Cross multiply
    485,323,679,656x = 1,055,120,539,940 × 1,055,120,539,940
  4. Step 4: Simplify right side
    485,323,679,656x = 1,113,279,353,803,277,107,986,432
  5. Step 5: Solve for x
    x = 1,113,279,353,803,277,107,986,432/485,323,679,656
  6. Step 6: Final answer
    x = 2,293,890,449,755.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.