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Finding the Third Proportional to 376,261,976 and 810,185,296

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Solution

The third proportional to 376,261,976 and 810,185,296 is: 1,744,529,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,261,976 : 810,185,296 = 810,185,296 : x
  2. Step 2: Convert to fraction form
    376,261,976/810,185,296 = 810,185,296/x
  3. Step 3: Cross multiply
    376,261,976x = 810,185,296 × 810,185,296
  4. Step 4: Simplify right side
    376,261,976x = 656,400,213,854,607,616
  5. Step 5: Solve for x
    x = 656,400,213,854,607,616/376,261,976
  6. Step 6: Final answer
    x = 1,744,529,757.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.