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Finding the Third Proportional to 6,800,807.25 and 14,369,163.75

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Solution

The third proportional to 6,800,807.25 and 14,369,163.75 is: 30,360,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800,807.25 : 14,369,163.75 = 14,369,163.75 : x
  2. Step 2: Convert to fraction form
    6,800,807.25/14,369,163.75 = 14,369,163.75/x
  3. Step 3: Cross multiply
    6,800,807.25x = 14,369,163.75 × 14,369,163.75
  4. Step 4: Simplify right side
    6,800,807.25x = 206,472,866,874,314.06
  5. Step 5: Solve for x
    x = 206,472,866,874,314.06/6,800,807.25
  6. Step 6: Final answer
    x = 30,360,052.75

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.