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Finding the Third Proportional to 3,844,629 and 8,186,193

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Solution

The third proportional to 3,844,629 and 8,186,193 is: 17,430,487.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844,629 : 8,186,193 = 8,186,193 : x
  2. Step 2: Convert to fraction form
    3,844,629/8,186,193 = 8,186,193/x
  3. Step 3: Cross multiply
    3,844,629x = 8,186,193 × 8,186,193
  4. Step 4: Simplify right side
    3,844,629x = 67,013,755,833,249
  5. Step 5: Solve for x
    x = 67,013,755,833,249/3,844,629
  6. Step 6: Final answer
    x = 17,430,487.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.