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Finding the Third Proportional to 472,378,452 and 664,923,082.50

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Solution

The third proportional to 472,378,452 and 664,923,082.50 is: 935,950,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,378,452 : 664,923,082.50 = 664,923,082.50 : x
  2. Step 2: Convert to fraction form
    472,378,452/664,923,082.50 = 664,923,082.50/x
  3. Step 3: Cross multiply
    472,378,452x = 664,923,082.50 × 664,923,082.50
  4. Step 4: Simplify right side
    472,378,452x = 442,122,705,641,301,824
  5. Step 5: Solve for x
    x = 442,122,705,641,301,824/472,378,452
  6. Step 6: Final answer
    x = 935,950,197.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.