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Finding the Third Proportional to 5,699,382.75 and 11,631,134.25

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Solution

The third proportional to 5,699,382.75 and 11,631,134.25 is: 23,736,479.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699,382.75 : 11,631,134.25 = 11,631,134.25 : x
  2. Step 2: Convert to fraction form
    5,699,382.75/11,631,134.25 = 11,631,134.25/x
  3. Step 3: Cross multiply
    5,699,382.75x = 11,631,134.25 × 11,631,134.25
  4. Step 4: Simplify right side
    5,699,382.75x = 135,283,283,941,523.06
  5. Step 5: Solve for x
    x = 135,283,283,941,523.06/5,699,382.75
  6. Step 6: Final answer
    x = 23,736,479.87

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.