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Finding the Third Proportional to 3,734,529 and 8,192,224.50

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Solution

The third proportional to 3,734,529 and 8,192,224.50 is: 17,970,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734,529 : 8,192,224.50 = 8,192,224.50 : x
  2. Step 2: Convert to fraction form
    3,734,529/8,192,224.50 = 8,192,224.50/x
  3. Step 3: Cross multiply
    3,734,529x = 8,192,224.50 × 8,192,224.50
  4. Step 4: Simplify right side
    3,734,529x = 67,112,542,258,400.25
  5. Step 5: Solve for x
    x = 67,112,542,258,400.25/3,734,529
  6. Step 6: Final answer
    x = 17,970,818.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.