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Finding the Third Proportional to 126,102,024 and 271,657,008

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Solution

The third proportional to 126,102,024 and 271,657,008 is: 585,220,820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,102,024 : 271,657,008 = 271,657,008 : x
  2. Step 2: Convert to fraction form
    126,102,024/271,657,008 = 271,657,008/x
  3. Step 3: Cross multiply
    126,102,024x = 271,657,008 × 271,657,008
  4. Step 4: Simplify right side
    126,102,024x = 73,797,529,995,512,064
  5. Step 5: Solve for x
    x = 73,797,529,995,512,064/126,102,024
  6. Step 6: Final answer
    x = 585,220,820.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.