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Finding the Third Proportional to 3,260,926.25 and 7,083,742

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Solution

The third proportional to 3,260,926.25 and 7,083,742 is: 15,388,082.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260,926.25 : 7,083,742 = 7,083,742 : x
  2. Step 2: Convert to fraction form
    3,260,926.25/7,083,742 = 7,083,742/x
  3. Step 3: Cross multiply
    3,260,926.25x = 7,083,742 × 7,083,742
  4. Step 4: Simplify right side
    3,260,926.25x = 50,179,400,722,564
  5. Step 5: Solve for x
    x = 50,179,400,722,564/3,260,926.25
  6. Step 6: Final answer
    x = 15,388,082.06

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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.