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Finding the Third Proportional to 11,672,516 and 18,647,094

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Solution

The third proportional to 11,672,516 and 18,647,094 is: 29,789,131.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672,516 : 18,647,094 = 18,647,094 : x
  2. Step 2: Convert to fraction form
    11,672,516/18,647,094 = 18,647,094/x
  3. Step 3: Cross multiply
    11,672,516x = 18,647,094 × 18,647,094
  4. Step 4: Simplify right side
    11,672,516x = 347,714,114,644,836
  5. Step 5: Solve for x
    x = 347,714,114,644,836/11,672,516
  6. Step 6: Final answer
    x = 29,789,131.55

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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.