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Finding the Third Proportional to 472,378,456 and 664,923,088

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Solution

The third proportional to 472,378,456 and 664,923,088 is: 935,950,205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,378,456 : 664,923,088 = 664,923,088 : x
  2. Step 2: Convert to fraction form
    472,378,456/664,923,088 = 664,923,088/x
  3. Step 3: Cross multiply
    472,378,456x = 664,923,088 × 664,923,088
  4. Step 4: Simplify right side
    472,378,456x = 442,122,712,955,455,744
  5. Step 5: Solve for x
    x = 442,122,712,955,455,744/472,378,456
  6. Step 6: Final answer
    x = 935,950,205.48

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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.