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Finding the Third Proportional to 2,682,168 and 5,818,467

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Solution

The third proportional to 2,682,168 and 5,818,467 is: 12,622,087.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682,168 : 5,818,467 = 5,818,467 : x
  2. Step 2: Convert to fraction form
    2,682,168/5,818,467 = 5,818,467/x
  3. Step 3: Cross multiply
    2,682,168x = 5,818,467 × 5,818,467
  4. Step 4: Simplify right side
    2,682,168x = 33,854,558,230,089
  5. Step 5: Solve for x
    x = 33,854,558,230,089/2,682,168
  6. Step 6: Final answer
    x = 12,622,087.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.