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Finding the Third Proportional to 3,401,176.50 and 7,465,824

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Solution

The third proportional to 3,401,176.50 and 7,465,824 is: 16,388,013.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401,176.50 : 7,465,824 = 7,465,824 : x
  2. Step 2: Convert to fraction form
    3,401,176.50/7,465,824 = 7,465,824/x
  3. Step 3: Cross multiply
    3,401,176.50x = 7,465,824 × 7,465,824
  4. Step 4: Simplify right side
    3,401,176.50x = 55,738,527,998,976
  5. Step 5: Solve for x
    x = 55,738,527,998,976/3,401,176.50
  6. Step 6: Final answer
    x = 16,388,013.97

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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.