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Finding the Third Proportional to 1,193,647,360 and 2,568,693,302

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Solution

The third proportional to 1,193,647,360 and 2,568,693,302 is: 5,527,750,909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,647,360 : 2,568,693,302 = 2,568,693,302 : x
  2. Step 2: Convert to fraction form
    1,193,647,360/2,568,693,302 = 2,568,693,302/x
  3. Step 3: Cross multiply
    1,193,647,360x = 2,568,693,302 × 2,568,693,302
  4. Step 4: Simplify right side
    1,193,647,360x = 6,598,185,279,739,663,360
  5. Step 5: Solve for x
    x = 6,598,185,279,739,663,360/1,193,647,360
  6. Step 6: Final answer
    x = 5,527,750,909.40

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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.