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Finding the Third Proportional to 67,127,649 and 100,278,057.38

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Solution

The third proportional to 67,127,649 and 100,278,057.38 is: 149,799,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,127,649 : 100,278,057.38 = 100,278,057.38 : x
  2. Step 2: Convert to fraction form
    67,127,649/100,278,057.38 = 100,278,057.38/x
  3. Step 3: Cross multiply
    67,127,649x = 100,278,057.38 × 100,278,057.38
  4. Step 4: Simplify right side
    67,127,649x = 10,055,688,790,903,792
  5. Step 5: Solve for x
    x = 10,055,688,790,903,792/67,127,649
  6. Step 6: Final answer
    x = 149,799,507.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.