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Finding the Third Proportional to 11,327,750 and 16,779,178.50

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Solution

The third proportional to 11,327,750 and 16,779,178.50 is: 24,854,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,327,750 : 16,779,178.50 = 16,779,178.50 : x
  2. Step 2: Convert to fraction form
    11,327,750/16,779,178.50 = 16,779,178.50/x
  3. Step 3: Cross multiply
    11,327,750x = 16,779,178.50 × 16,779,178.50
  4. Step 4: Simplify right side
    11,327,750x = 281,540,831,134,862.25
  5. Step 5: Solve for x
    x = 281,540,831,134,862.25/11,327,750
  6. Step 6: Final answer
    x = 24,854,082.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.