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Finding the Third Proportional to 5,709,197.25 and 12,309,635.81

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Solution

The third proportional to 5,709,197.25 and 12,309,635.81 is: 26,540,882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709,197.25 : 12,309,635.81 = 12,309,635.81 : x
  2. Step 2: Convert to fraction form
    5,709,197.25/12,309,635.81 = 12,309,635.81/x
  3. Step 3: Cross multiply
    5,709,197.25x = 12,309,635.81 × 12,309,635.81
  4. Step 4: Simplify right side
    5,709,197.25x = 151,527,133,836,382.53
  5. Step 5: Solve for x
    x = 151,527,133,836,382.53/5,709,197.25
  6. Step 6: Final answer
    x = 26,540,882.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.