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Finding the Third Proportional to 2,765,299.50 and 5,751,324

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Solution

The third proportional to 2,765,299.50 and 5,751,324 is: 11,961,716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765,299.50 : 5,751,324 = 5,751,324 : x
  2. Step 2: Convert to fraction form
    2,765,299.50/5,751,324 = 5,751,324/x
  3. Step 3: Cross multiply
    2,765,299.50x = 5,751,324 × 5,751,324
  4. Step 4: Simplify right side
    2,765,299.50x = 33,077,727,752,976
  5. Step 5: Solve for x
    x = 33,077,727,752,976/2,765,299.50
  6. Step 6: Final answer
    x = 11,961,716.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.