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Finding the Third Proportional to 3,794,347.50 and 8,282,109

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Solution

The third proportional to 3,794,347.50 and 8,282,109 is: 18,077,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794,347.50 : 8,282,109 = 8,282,109 : x
  2. Step 2: Convert to fraction form
    3,794,347.50/8,282,109 = 8,282,109/x
  3. Step 3: Cross multiply
    3,794,347.50x = 8,282,109 × 8,282,109
  4. Step 4: Simplify right side
    3,794,347.50x = 68,593,329,487,881
  5. Step 5: Solve for x
    x = 68,593,329,487,881/3,794,347.50
  6. Step 6: Final answer
    x = 18,077,766.86

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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.