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Finding the Third Proportional to 11,672,520 and 18,647,100

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Solution

The third proportional to 11,672,520 and 18,647,100 is: 29,789,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672,520 : 18,647,100 = 18,647,100 : x
  2. Step 2: Convert to fraction form
    11,672,520/18,647,100 = 18,647,100/x
  3. Step 3: Cross multiply
    11,672,520x = 18,647,100 × 18,647,100
  4. Step 4: Simplify right side
    11,672,520x = 347,714,338,410,000
  5. Step 5: Solve for x
    x = 347,714,338,410,000/11,672,520
  6. Step 6: Final answer
    x = 29,789,140.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.