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Finding the Third Proportional to 266,137,650.38 and 582,446,039.63

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Solution

The third proportional to 266,137,650.38 and 582,446,039.63 is: 1,274,691,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,137,650.38 : 582,446,039.63 = 582,446,039.63 : x
  2. Step 2: Convert to fraction form
    266,137,650.38/582,446,039.63 = 582,446,039.63/x
  3. Step 3: Cross multiply
    266,137,650.38x = 582,446,039.63 × 582,446,039.63
  4. Step 4: Simplify right side
    266,137,650.38x = 339,243,389,074,847,040
  5. Step 5: Solve for x
    x = 339,243,389,074,847,040/266,137,650.38
  6. Step 6: Final answer
    x = 1,274,691,456.08

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