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Finding the Third Proportional to 7,635,649 and 16,467,041

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Solution

The third proportional to 7,635,649 and 16,467,041 is: 35,512,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635,649 : 16,467,041 = 16,467,041 : x
  2. Step 2: Convert to fraction form
    7,635,649/16,467,041 = 16,467,041/x
  3. Step 3: Cross multiply
    7,635,649x = 16,467,041 × 16,467,041
  4. Step 4: Simplify right side
    7,635,649x = 271,163,439,295,681
  5. Step 5: Solve for x
    x = 271,163,439,295,681/7,635,649
  6. Step 6: Final answer
    x = 35,512,821.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.