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Finding the Third Proportional to 3,824,965.50 and 8,322,840

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Solution

The third proportional to 3,824,965.50 and 8,322,840 is: 18,109,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824,965.50 : 8,322,840 = 8,322,840 : x
  2. Step 2: Convert to fraction form
    3,824,965.50/8,322,840 = 8,322,840/x
  3. Step 3: Cross multiply
    3,824,965.50x = 8,322,840 × 8,322,840
  4. Step 4: Simplify right side
    3,824,965.50x = 69,269,665,665,600
  5. Step 5: Solve for x
    x = 69,269,665,665,600/3,824,965.50
  6. Step 6: Final answer
    x = 18,109,879.86

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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.