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Finding the Third Proportional to 725,540,596.31 and 1,481,534,438.06

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Solution

The third proportional to 725,540,596.31 and 1,481,534,438.06 is: 3,025,253,586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,540,596.31 : 1,481,534,438.06 = 1,481,534,438.06 : x
  2. Step 2: Convert to fraction form
    725,540,596.31/1,481,534,438.06 = 1,481,534,438.06/x
  3. Step 3: Cross multiply
    725,540,596.31x = 1,481,534,438.06 × 1,481,534,438.06
  4. Step 4: Simplify right side
    725,540,596.31x = 2,194,944,291,165,167,616
  5. Step 5: Solve for x
    x = 2,194,944,291,165,167,616/725,540,596.31
  6. Step 6: Final answer
    x = 3,025,253,586.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.