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Finding the Third Proportional to 7,682,122 and 16,781,636

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Solution

The third proportional to 7,682,122 and 16,781,636 is: 36,659,572.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682,122 : 16,781,636 = 16,781,636 : x
  2. Step 2: Convert to fraction form
    7,682,122/16,781,636 = 16,781,636/x
  3. Step 3: Cross multiply
    7,682,122x = 16,781,636 × 16,781,636
  4. Step 4: Simplify right side
    7,682,122x = 281,623,306,836,496
  5. Step 5: Solve for x
    x = 281,623,306,836,496/7,682,122
  6. Step 6: Final answer
    x = 36,659,572.29

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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.