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Finding the Third Proportional to 3,822,719 and 8,212,096

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Solution

The third proportional to 3,822,719 and 8,212,096 is: 17,641,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822,719 : 8,212,096 = 8,212,096 : x
  2. Step 2: Convert to fraction form
    3,822,719/8,212,096 = 8,212,096/x
  3. Step 3: Cross multiply
    3,822,719x = 8,212,096 × 8,212,096
  4. Step 4: Simplify right side
    3,822,719x = 67,438,520,713,216
  5. Step 5: Solve for x
    x = 67,438,520,713,216/3,822,719
  6. Step 6: Final answer
    x = 17,641,506.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.