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Finding the Third Proportional to 266,138,055 and 582,447,154

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Solution

The third proportional to 266,138,055 and 582,447,154 is: 1,274,694,395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,138,055 : 582,447,154 = 582,447,154 : x
  2. Step 2: Convert to fraction form
    266,138,055/582,447,154 = 582,447,154/x
  3. Step 3: Cross multiply
    266,138,055x = 582,447,154 × 582,447,154
  4. Step 4: Simplify right side
    266,138,055x = 339,244,687,202,699,712
  5. Step 5: Solve for x
    x = 339,244,687,202,699,712/266,138,055
  6. Step 6: Final answer
    x = 1,274,694,395.74

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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.