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Finding the Third Proportional to 442,179,573 and 946,474,867

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Solution

The third proportional to 442,179,573 and 946,474,867 is: 2,025,906,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,179,573 : 946,474,867 = 946,474,867 : x
  2. Step 2: Convert to fraction form
    442,179,573/946,474,867 = 946,474,867/x
  3. Step 3: Cross multiply
    442,179,573x = 946,474,867 × 946,474,867
  4. Step 4: Simplify right side
    442,179,573x = 895,814,673,862,667,648
  5. Step 5: Solve for x
    x = 895,814,673,862,667,648/442,179,573
  6. Step 6: Final answer
    x = 2,025,906,958.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.