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Finding the Third Proportional to 10,747,296 and 16,114,302

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Solution

The third proportional to 10,747,296 and 16,114,302 is: 24,161,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,747,296 : 16,114,302 = 16,114,302 : x
  2. Step 2: Convert to fraction form
    10,747,296/16,114,302 = 16,114,302/x
  3. Step 3: Cross multiply
    10,747,296x = 16,114,302 × 16,114,302
  4. Step 4: Simplify right side
    10,747,296x = 259,670,728,947,204
  5. Step 5: Solve for x
    x = 259,670,728,947,204/10,747,296
  6. Step 6: Final answer
    x = 24,161,494.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.