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Finding the Third Proportional to 3,427,238 and 7,444,462

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Solution

The third proportional to 3,427,238 and 7,444,462 is: 16,170,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427,238 : 7,444,462 = 7,444,462 : x
  2. Step 2: Convert to fraction form
    3,427,238/7,444,462 = 7,444,462/x
  3. Step 3: Cross multiply
    3,427,238x = 7,444,462 × 7,444,462
  4. Step 4: Simplify right side
    3,427,238x = 55,420,014,469,444
  5. Step 5: Solve for x
    x = 55,420,014,469,444/3,427,238
  6. Step 6: Final answer
    x = 16,170,459.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.