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Finding the Third Proportional to 3,837,122 and 8,205,940

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Solution

The third proportional to 3,837,122 and 8,205,940 is: 17,548,947.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837,122 : 8,205,940 = 8,205,940 : x
  2. Step 2: Convert to fraction form
    3,837,122/8,205,940 = 8,205,940/x
  3. Step 3: Cross multiply
    3,837,122x = 8,205,940 × 8,205,940
  4. Step 4: Simplify right side
    3,837,122x = 67,337,451,283,600
  5. Step 5: Solve for x
    x = 67,337,451,283,600/3,837,122
  6. Step 6: Final answer
    x = 17,548,947.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.