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Finding the Third Proportional to 539,857,517,390 and 1,160,961,734,872

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Solution

The third proportional to 539,857,517,390 and 1,160,961,734,872 is: 2,496,644,218,928.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,857,517,390 : 1,160,961,734,872 = 1,160,961,734,872 : x
  2. Step 2: Convert to fraction form
    539,857,517,390/1,160,961,734,872 = 1,160,961,734,872/x
  3. Step 3: Cross multiply
    539,857,517,390x = 1,160,961,734,872 × 1,160,961,734,872
  4. Step 4: Simplify right side
    539,857,517,390x = 1,347,832,149,837,004,025,102,336
  5. Step 5: Solve for x
    x = 1,347,832,149,837,004,025,102,336/539,857,517,390
  6. Step 6: Final answer
    x = 2,496,644,218,928.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.