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Finding the Third Proportional to 2,682,167 and 5,818,465

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Solution

The third proportional to 2,682,167 and 5,818,465 is: 12,622,083.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682,167 : 5,818,465 = 5,818,465 : x
  2. Step 2: Convert to fraction form
    2,682,167/5,818,465 = 5,818,465/x
  3. Step 3: Cross multiply
    2,682,167x = 5,818,465 × 5,818,465
  4. Step 4: Simplify right side
    2,682,167x = 33,854,534,956,225
  5. Step 5: Solve for x
    x = 33,854,534,956,225/2,682,167
  6. Step 6: Final answer
    x = 12,622,083.17

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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.