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Finding the Third Proportional to 8,512,000 and 11,944,032

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Solution

The third proportional to 8,512,000 and 11,944,032 is: 16,759,856.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512,000 : 11,944,032 = 11,944,032 : x
  2. Step 2: Convert to fraction form
    8,512,000/11,944,032 = 11,944,032/x
  3. Step 3: Cross multiply
    8,512,000x = 11,944,032 × 11,944,032
  4. Step 4: Simplify right side
    8,512,000x = 142,659,900,417,024
  5. Step 5: Solve for x
    x = 142,659,900,417,024/8,512,000
  6. Step 6: Final answer
    x = 16,759,856.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.