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Finding the Third Proportional to 8,084,758.50 and 12,211,380

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Solution

The third proportional to 8,084,758.50 and 12,211,380 is: 18,444,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084,758.50 : 12,211,380 = 12,211,380 : x
  2. Step 2: Convert to fraction form
    8,084,758.50/12,211,380 = 12,211,380/x
  3. Step 3: Cross multiply
    8,084,758.50x = 12,211,380 × 12,211,380
  4. Step 4: Simplify right side
    8,084,758.50x = 149,117,801,504,400
  5. Step 5: Solve for x
    x = 149,117,801,504,400/8,084,758.50
  6. Step 6: Final answer
    x = 18,444,311.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.