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Finding the Third Proportional to 3,475,638 and 7,569,163

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Solution

The third proportional to 3,475,638 and 7,569,163 is: 16,483,945.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475,638 : 7,569,163 = 7,569,163 : x
  2. Step 2: Convert to fraction form
    3,475,638/7,569,163 = 7,569,163/x
  3. Step 3: Cross multiply
    3,475,638x = 7,569,163 × 7,569,163
  4. Step 4: Simplify right side
    3,475,638x = 57,292,228,520,569
  5. Step 5: Solve for x
    x = 57,292,228,520,569/3,475,638
  6. Step 6: Final answer
    x = 16,483,945.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.