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Finding the Third Proportional to 516,825,906.75 and 794,397,795.19

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Solution

The third proportional to 516,825,906.75 and 794,397,795.19 is: 1,221,045,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,825,906.75 : 794,397,795.19 = 794,397,795.19 : x
  2. Step 2: Convert to fraction form
    516,825,906.75/794,397,795.19 = 794,397,795.19/x
  3. Step 3: Cross multiply
    516,825,906.75x = 794,397,795.19 × 794,397,795.19
  4. Step 4: Simplify right side
    516,825,906.75x = 631,067,856,998,761,216
  5. Step 5: Solve for x
    x = 631,067,856,998,761,216/516,825,906.75
  6. Step 6: Final answer
    x = 1,221,045,324.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.