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Finding the Third Proportional to 6,846,277 and 14,834,150

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Solution

The third proportional to 6,846,277 and 14,834,150 is: 32,141,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846,277 : 14,834,150 = 14,834,150 : x
  2. Step 2: Convert to fraction form
    6,846,277/14,834,150 = 14,834,150/x
  3. Step 3: Cross multiply
    6,846,277x = 14,834,150 × 14,834,150
  4. Step 4: Simplify right side
    6,846,277x = 220,052,006,222,500
  5. Step 5: Solve for x
    x = 220,052,006,222,500/6,846,277
  6. Step 6: Final answer
    x = 32,141,849.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.