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Finding the Third Proportional to 126,261,693 and 271,320,664.50

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Solution

The third proportional to 126,261,693 and 271,320,664.50 is: 583,034,341.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,261,693 : 271,320,664.50 = 271,320,664.50 : x
  2. Step 2: Convert to fraction form
    126,261,693/271,320,664.50 = 271,320,664.50/x
  3. Step 3: Cross multiply
    126,261,693x = 271,320,664.50 × 271,320,664.50
  4. Step 4: Simplify right side
    126,261,693x = 73,614,902,984,721,568
  5. Step 5: Solve for x
    x = 73,614,902,984,721,568/126,261,693
  6. Step 6: Final answer
    x = 583,034,341.10

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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.