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Finding the Third Proportional to 266,138,053.13 and 582,447,150

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Solution

The third proportional to 266,138,053.13 and 582,447,150 is: 1,274,694,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,138,053.13 : 582,447,150 = 582,447,150 : x
  2. Step 2: Convert to fraction form
    266,138,053.13/582,447,150 = 582,447,150/x
  3. Step 3: Cross multiply
    266,138,053.13x = 582,447,150 × 582,447,150
  4. Step 4: Simplify right side
    266,138,053.13x = 339,244,682,543,122,496
  5. Step 5: Solve for x
    x = 339,244,682,543,122,496/266,138,053.13
  6. Step 6: Final answer
    x = 1,274,694,387.22

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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.