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Finding the Third Proportional to 539,857,517,344 and 1,160,961,734,768

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Solution

The third proportional to 539,857,517,344 and 1,160,961,734,768 is: 2,496,644,218,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,857,517,344 : 1,160,961,734,768 = 1,160,961,734,768 : x
  2. Step 2: Convert to fraction form
    539,857,517,344/1,160,961,734,768 = 1,160,961,734,768/x
  3. Step 3: Cross multiply
    539,857,517,344x = 1,160,961,734,768 × 1,160,961,734,768
  4. Step 4: Simplify right side
    539,857,517,344x = 1,347,832,149,595,524,052,287,488
  5. Step 5: Solve for x
    x = 1,347,832,149,595,524,052,287,488/539,857,517,344
  6. Step 6: Final answer
    x = 2,496,644,218,694.24

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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.