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Finding the Third Proportional to 3,947,784 and 8,482,779

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Solution

The third proportional to 3,947,784 and 8,482,779 is: 18,227,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947,784 : 8,482,779 = 8,482,779 : x
  2. Step 2: Convert to fraction form
    3,947,784/8,482,779 = 8,482,779/x
  3. Step 3: Cross multiply
    3,947,784x = 8,482,779 × 8,482,779
  4. Step 4: Simplify right side
    3,947,784x = 71,957,539,562,841
  5. Step 5: Solve for x
    x = 71,957,539,562,841/3,947,784
  6. Step 6: Final answer
    x = 18,227,324.38

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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.