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Finding the Third Proportional to 75,786,624 and 166,689,792

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Solution

The third proportional to 75,786,624 and 166,689,792 is: 366,627,846.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,786,624 : 166,689,792 = 166,689,792 : x
  2. Step 2: Convert to fraction form
    75,786,624/166,689,792 = 166,689,792/x
  3. Step 3: Cross multiply
    75,786,624x = 166,689,792 × 166,689,792
  4. Step 4: Simplify right side
    75,786,624x = 27,785,486,757,003,264
  5. Step 5: Solve for x
    x = 27,785,486,757,003,264/75,786,624
  6. Step 6: Final answer
    x = 366,627,846.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.