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Finding the Third Proportional to 2,129,253,959 and 4,633,443,147

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Solution

The third proportional to 2,129,253,959 and 4,633,443,147 is: 10,082,778,198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,253,959 : 4,633,443,147 = 4,633,443,147 : x
  2. Step 2: Convert to fraction form
    2,129,253,959/4,633,443,147 = 4,633,443,147/x
  3. Step 3: Cross multiply
    2,129,253,959x = 4,633,443,147 × 4,633,443,147
  4. Step 4: Simplify right side
    2,129,253,959x = 21,468,795,396,481,261,568
  5. Step 5: Solve for x
    x = 21,468,795,396,481,261,568/2,129,253,959
  6. Step 6: Final answer
    x = 10,082,778,198.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.