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Finding the Third Proportional to 5,971,523.77 and 12,193,692.54

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Solution

The third proportional to 5,971,523.77 and 12,193,692.54 is: 24,899,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971,523.77 : 12,193,692.54 = 12,193,692.54 : x
  2. Step 2: Convert to fraction form
    5,971,523.77/12,193,692.54 = 12,193,692.54/x
  3. Step 3: Cross multiply
    5,971,523.77x = 12,193,692.54 × 12,193,692.54
  4. Step 4: Simplify right side
    5,971,523.77x = 148,686,137,737,176.31
  5. Step 5: Solve for x
    x = 148,686,137,737,176.31/5,971,523.77
  6. Step 6: Final answer
    x = 24,899,195.51

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.