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Finding the Third Proportional to 1,171,494,288 and 2,568,057,120

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Solution

The third proportional to 1,171,494,288 and 2,568,057,120 is: 5,629,491,700.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171,494,288 : 2,568,057,120 = 2,568,057,120 : x
  2. Step 2: Convert to fraction form
    1,171,494,288/2,568,057,120 = 2,568,057,120/x
  3. Step 3: Cross multiply
    1,171,494,288x = 2,568,057,120 × 2,568,057,120
  4. Step 4: Simplify right side
    1,171,494,288x = 6,594,917,371,582,694,400
  5. Step 5: Solve for x
    x = 6,594,917,371,582,694,400/1,171,494,288
  6. Step 6: Final answer
    x = 5,629,491,700.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.