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Finding the Third Proportional to 3,260,179.50 and 7,080,493.50

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Solution

The third proportional to 3,260,179.50 and 7,080,493.50 is: 15,377,493.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260,179.50 : 7,080,493.50 = 7,080,493.50 : x
  2. Step 2: Convert to fraction form
    3,260,179.50/7,080,493.50 = 7,080,493.50/x
  3. Step 3: Cross multiply
    3,260,179.50x = 7,080,493.50 × 7,080,493.50
  4. Step 4: Simplify right side
    3,260,179.50x = 50,133,388,203,542.25
  5. Step 5: Solve for x
    x = 50,133,388,203,542.25/3,260,179.50
  6. Step 6: Final answer
    x = 15,377,493.23

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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.