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Finding the Third Proportional to 6,847,692 and 16,194,036

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Solution

The third proportional to 6,847,692 and 16,194,036 is: 38,297,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847,692 : 16,194,036 = 16,194,036 : x
  2. Step 2: Convert to fraction form
    6,847,692/16,194,036 = 16,194,036/x
  3. Step 3: Cross multiply
    6,847,692x = 16,194,036 × 16,194,036
  4. Step 4: Simplify right side
    6,847,692x = 262,246,801,969,296
  5. Step 5: Solve for x
    x = 262,246,801,969,296/6,847,692
  6. Step 6: Final answer
    x = 38,297,108.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.