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Finding the Third Proportional to 3,401,655.75 and 7,401,180.09

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Solution

The third proportional to 3,401,655.75 and 7,401,180.09 is: 16,103,177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401,655.75 : 7,401,180.09 = 7,401,180.09 : x
  2. Step 2: Convert to fraction form
    3,401,655.75/7,401,180.09 = 7,401,180.09/x
  3. Step 3: Cross multiply
    3,401,655.75x = 7,401,180.09 × 7,401,180.09
  4. Step 4: Simplify right side
    3,401,655.75x = 54,777,466,780,121.26
  5. Step 5: Solve for x
    x = 54,777,466,780,121.26/3,401,655.75
  6. Step 6: Final answer
    x = 16,103,177.63

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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.