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Finding the Third Proportional to 6,784,614 and 10,491,876

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Solution

The third proportional to 6,784,614 and 10,491,876 is: 16,224,867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784,614 : 10,491,876 = 10,491,876 : x
  2. Step 2: Convert to fraction form
    6,784,614/10,491,876 = 10,491,876/x
  3. Step 3: Cross multiply
    6,784,614x = 10,491,876 × 10,491,876
  4. Step 4: Simplify right side
    6,784,614x = 110,079,461,999,376
  5. Step 5: Solve for x
    x = 110,079,461,999,376/6,784,614
  6. Step 6: Final answer
    x = 16,224,867.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.