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Finding the Third Proportional to 1,193,647,760 and 2,568,694,102

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Solution

The third proportional to 1,193,647,760 and 2,568,694,102 is: 5,527,752,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,647,760 : 2,568,694,102 = 2,568,694,102 : x
  2. Step 2: Convert to fraction form
    1,193,647,760/2,568,694,102 = 2,568,694,102/x
  3. Step 3: Cross multiply
    1,193,647,760x = 2,568,694,102 × 2,568,694,102
  4. Step 4: Simplify right side
    1,193,647,760x = 6,598,189,389,649,586,176
  5. Step 5: Solve for x
    x = 6,598,189,389,649,586,176/1,193,647,760
  6. Step 6: Final answer
    x = 5,527,752,500.16

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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.