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Finding the Third Proportional to 6,847,716 and 16,194,096

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Solution

The third proportional to 6,847,716 and 16,194,096 is: 38,297,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847,716 : 16,194,096 = 16,194,096 : x
  2. Step 2: Convert to fraction form
    6,847,716/16,194,096 = 16,194,096/x
  3. Step 3: Cross multiply
    6,847,716x = 16,194,096 × 16,194,096
  4. Step 4: Simplify right side
    6,847,716x = 262,248,745,257,216
  5. Step 5: Solve for x
    x = 262,248,745,257,216/6,847,716
  6. Step 6: Final answer
    x = 38,297,257.84

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