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Finding the Third Proportional to 266,138,046.14 and 582,447,136.64

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Solution

The third proportional to 266,138,046.14 and 582,447,136.64 is: 1,274,694,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,138,046.14 : 582,447,136.64 = 582,447,136.64 : x
  2. Step 2: Convert to fraction form
    266,138,046.14/582,447,136.64 = 582,447,136.64/x
  3. Step 3: Cross multiply
    266,138,046.14x = 582,447,136.64 × 582,447,136.64
  4. Step 4: Simplify right side
    266,138,046.14x = 339,244,666,980,833,728
  5. Step 5: Solve for x
    x = 339,244,666,980,833,728/266,138,046.14
  6. Step 6: Final answer
    x = 1,274,694,362.19

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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.