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Finding the Third Proportional to 3,401,183.25 and 7,400,214

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Solution

The third proportional to 3,401,183.25 and 7,400,214 is: 16,101,210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401,183.25 : 7,400,214 = 7,400,214 : x
  2. Step 2: Convert to fraction form
    3,401,183.25/7,400,214 = 7,400,214/x
  3. Step 3: Cross multiply
    3,401,183.25x = 7,400,214 × 7,400,214
  4. Step 4: Simplify right side
    3,401,183.25x = 54,763,167,245,796
  5. Step 5: Solve for x
    x = 54,763,167,245,796/3,401,183.25
  6. Step 6: Final answer
    x = 16,101,210.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.