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Finding the Third Proportional to 7,682,112 and 16,781,616

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Solution

The third proportional to 7,682,112 and 16,781,616 is: 36,659,532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682,112 : 16,781,616 = 16,781,616 : x
  2. Step 2: Convert to fraction form
    7,682,112/16,781,616 = 16,781,616/x
  3. Step 3: Cross multiply
    7,682,112x = 16,781,616 × 16,781,616
  4. Step 4: Simplify right side
    7,682,112x = 281,622,635,571,456
  5. Step 5: Solve for x
    x = 281,622,635,571,456/7,682,112
  6. Step 6: Final answer
    x = 36,659,532.64

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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.