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Finding the Third Proportional to 3,938,766 and 8,480,172

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Solution

The third proportional to 3,938,766 and 8,480,172 is: 18,257,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938,766 : 8,480,172 = 8,480,172 : x
  2. Step 2: Convert to fraction form
    3,938,766/8,480,172 = 8,480,172/x
  3. Step 3: Cross multiply
    3,938,766x = 8,480,172 × 8,480,172
  4. Step 4: Simplify right side
    3,938,766x = 71,913,317,149,584
  5. Step 5: Solve for x
    x = 71,913,317,149,584/3,938,766
  6. Step 6: Final answer
    x = 18,257,829.27

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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.