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Finding the Third Proportional to 266,138,151.82 and 582,447,245.48

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Solution

The third proportional to 266,138,151.82 and 582,447,245.48 is: 1,274,694,332.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,138,151.82 : 582,447,245.48 = 582,447,245.48 : x
  2. Step 2: Convert to fraction form
    266,138,151.82/582,447,245.48 = 582,447,245.48/x
  3. Step 3: Cross multiply
    266,138,151.82x = 582,447,245.48 × 582,447,245.48
  4. Step 4: Simplify right side
    266,138,151.82x = 339,244,793,772,364,928
  5. Step 5: Solve for x
    x = 339,244,793,772,364,928/266,138,151.82
  6. Step 6: Final answer
    x = 1,274,694,332.44

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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.