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Finding the Third Proportional to 8,238,523.50 and 17,941,662

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Solution

The third proportional to 8,238,523.50 and 17,941,662 is: 39,072,927.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238,523.50 : 17,941,662 = 17,941,662 : x
  2. Step 2: Convert to fraction form
    8,238,523.50/17,941,662 = 17,941,662/x
  3. Step 3: Cross multiply
    8,238,523.50x = 17,941,662 × 17,941,662
  4. Step 4: Simplify right side
    8,238,523.50x = 321,903,235,322,244
  5. Step 5: Solve for x
    x = 321,903,235,322,244/8,238,523.50
  6. Step 6: Final answer
    x = 39,072,927.97

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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.