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Finding the Third Proportional to 266,164,914 and 582,420,876

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Solution

The third proportional to 266,164,914 and 582,420,876 is: 1,274,450,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,164,914 : 582,420,876 = 582,420,876 : x
  2. Step 2: Convert to fraction form
    266,164,914/582,420,876 = 582,420,876/x
  3. Step 3: Cross multiply
    266,164,914x = 582,420,876 × 582,420,876
  4. Step 4: Simplify right side
    266,164,914x = 339,214,076,800,607,360
  5. Step 5: Solve for x
    x = 339,214,076,800,607,360/266,164,914
  6. Step 6: Final answer
    x = 1,274,450,759.50

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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.