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Finding the Third Proportional to 2,640,751.24 and 5,565,214.48

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Solution

The third proportional to 2,640,751.24 and 5,565,214.48 is: 11,728,333.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640,751.24 : 5,565,214.48 = 5,565,214.48 : x
  2. Step 2: Convert to fraction form
    2,640,751.24/5,565,214.48 = 5,565,214.48/x
  3. Step 3: Cross multiply
    2,640,751.24x = 5,565,214.48 × 5,565,214.48
  4. Step 4: Simplify right side
    2,640,751.24x = 30,971,612,170,140.82
  5. Step 5: Solve for x
    x = 30,971,612,170,140.82/2,640,751.24
  6. Step 6: Final answer
    x = 11,728,333.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.