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Finding the Third Proportional to 3,914,217 and 5,512,107.50

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Solution

The third proportional to 3,914,217 and 5,512,107.50 is: 7,762,300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914,217 : 5,512,107.50 = 5,512,107.50 : x
  2. Step 2: Convert to fraction form
    3,914,217/5,512,107.50 = 5,512,107.50/x
  3. Step 3: Cross multiply
    3,914,217x = 5,512,107.50 × 5,512,107.50
  4. Step 4: Simplify right side
    3,914,217x = 30,383,329,091,556.25
  5. Step 5: Solve for x
    x = 30,383,329,091,556.25/3,914,217
  6. Step 6: Final answer
    x = 7,762,300.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.