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Finding the Third Proportional to 266,138,047 and 582,447,139

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Solution

The third proportional to 266,138,047 and 582,447,139 is: 1,274,694,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,138,047 : 582,447,139 = 582,447,139 : x
  2. Step 2: Convert to fraction form
    266,138,047/582,447,139 = 582,447,139/x
  3. Step 3: Cross multiply
    266,138,047x = 582,447,139 × 582,447,139
  4. Step 4: Simplify right side
    266,138,047x = 339,244,669,729,285,312
  5. Step 5: Solve for x
    x = 339,244,669,729,285,312/266,138,047
  6. Step 6: Final answer
    x = 1,274,694,368.41

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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.