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Finding the Third Proportional to 485,323,679,655 and 1,055,120,539,938

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Solution

The third proportional to 485,323,679,655 and 1,055,120,539,938 is: 2,293,890,449,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,323,679,655 : 1,055,120,539,938 = 1,055,120,539,938 : x
  2. Step 2: Convert to fraction form
    485,323,679,655/1,055,120,539,938 = 1,055,120,539,938/x
  3. Step 3: Cross multiply
    485,323,679,655x = 1,055,120,539,938 × 1,055,120,539,938
  4. Step 4: Simplify right side
    485,323,679,655x = 1,113,279,353,799,056,631,529,472
  5. Step 5: Solve for x
    x = 1,113,279,353,799,056,631,529,472/485,323,679,655
  6. Step 6: Final answer
    x = 2,293,890,449,751.90

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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.