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Finding the Third Proportional to 5,408,729.44 and 8,363,672.72

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Solution

The third proportional to 5,408,729.44 and 8,363,672.72 is: 12,932,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408,729.44 : 8,363,672.72 = 8,363,672.72 : x
  2. Step 2: Convert to fraction form
    5,408,729.44/8,363,672.72 = 8,363,672.72/x
  3. Step 3: Cross multiply
    5,408,729.44x = 8,363,672.72 × 8,363,672.72
  4. Step 4: Simplify right side
    5,408,729.44x = 69,951,021,346,363.02
  5. Step 5: Solve for x
    x = 69,951,021,346,363.02/5,408,729.44
  6. Step 6: Final answer
    x = 12,932,985.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.