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Finding the Third Proportional to 3,178,204.50 and 6,950,593.50

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Solution

The third proportional to 3,178,204.50 and 6,950,593.50 is: 15,200,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178,204.50 : 6,950,593.50 = 6,950,593.50 : x
  2. Step 2: Convert to fraction form
    3,178,204.50/6,950,593.50 = 6,950,593.50/x
  3. Step 3: Cross multiply
    3,178,204.50x = 6,950,593.50 × 6,950,593.50
  4. Step 4: Simplify right side
    3,178,204.50x = 48,310,750,002,242.25
  5. Step 5: Solve for x
    x = 48,310,750,002,242.25/3,178,204.50
  6. Step 6: Final answer
    x = 15,200,642.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.