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Finding the Third Proportional to 266,164,876 and 582,420,799

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Solution

The third proportional to 266,164,876 and 582,420,799 is: 1,274,450,604.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,164,876 : 582,420,799 = 582,420,799 : x
  2. Step 2: Convert to fraction form
    266,164,876/582,420,799 = 582,420,799/x
  3. Step 3: Cross multiply
    266,164,876x = 582,420,799 × 582,420,799
  4. Step 4: Simplify right side
    266,164,876x = 339,213,987,107,798,400
  5. Step 5: Solve for x
    x = 339,213,987,107,798,400/266,164,876
  6. Step 6: Final answer
    x = 1,274,450,604.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.