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Finding the Third Proportional to 5,219,704.50 and 7,985,565

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Solution

The third proportional to 5,219,704.50 and 7,985,565 is: 12,217,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219,704.50 : 7,985,565 = 7,985,565 : x
  2. Step 2: Convert to fraction form
    5,219,704.50/7,985,565 = 7,985,565/x
  3. Step 3: Cross multiply
    5,219,704.50x = 7,985,565 × 7,985,565
  4. Step 4: Simplify right side
    5,219,704.50x = 63,769,248,369,225
  5. Step 5: Solve for x
    x = 63,769,248,369,225/5,219,704.50
  6. Step 6: Final answer
    x = 12,217,022.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.