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Finding the Third Proportional to 8,381,224 and 18,097,976

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Solution

The third proportional to 8,381,224 and 18,097,976 is: 39,079,821.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381,224 : 18,097,976 = 18,097,976 : x
  2. Step 2: Convert to fraction form
    8,381,224/18,097,976 = 18,097,976/x
  3. Step 3: Cross multiply
    8,381,224x = 18,097,976 × 18,097,976
  4. Step 4: Simplify right side
    8,381,224x = 327,536,735,296,576
  5. Step 5: Solve for x
    x = 327,536,735,296,576/8,381,224
  6. Step 6: Final answer
    x = 39,079,821.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.