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Finding the Third Proportional to 752,393,154.38 and 1,162,137,825.56

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Solution

The third proportional to 752,393,154.38 and 1,162,137,825.56 is: 1,795,024,739.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,393,154.38 : 1,162,137,825.56 = 1,162,137,825.56 : x
  2. Step 2: Convert to fraction form
    752,393,154.38/1,162,137,825.56 = 1,162,137,825.56/x
  3. Step 3: Cross multiply
    752,393,154.38x = 1,162,137,825.56 × 1,162,137,825.56
  4. Step 4: Simplify right side
    752,393,154.38x = 1,350,564,325,603,135,744
  5. Step 5: Solve for x
    x = 1,350,564,325,603,135,744/752,393,154.38
  6. Step 6: Final answer
    x = 1,795,024,739.06

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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.