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Finding the Third Proportional to 126,738,225 and 271,665,981

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Solution

The third proportional to 126,738,225 and 271,665,981 is: 582,321,594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,738,225 : 271,665,981 = 271,665,981 : x
  2. Step 2: Convert to fraction form
    126,738,225/271,665,981 = 271,665,981/x
  3. Step 3: Cross multiply
    126,738,225x = 271,665,981 × 271,665,981
  4. Step 4: Simplify right side
    126,738,225x = 73,802,405,232,692,368
  5. Step 5: Solve for x
    x = 73,802,405,232,692,368/126,738,225
  6. Step 6: Final answer
    x = 582,321,594.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.