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Finding the Third Proportional to 2,313,022.81 and 5,012,171.69

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Solution

The third proportional to 2,313,022.81 and 5,012,171.69 is: 10,861,053.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313,022.81 : 5,012,171.69 = 5,012,171.69 : x
  2. Step 2: Convert to fraction form
    2,313,022.81/5,012,171.69 = 5,012,171.69/x
  3. Step 3: Cross multiply
    2,313,022.81x = 5,012,171.69 × 5,012,171.69
  4. Step 4: Simplify right side
    2,313,022.81x = 25,121,865,024,976.60
  5. Step 5: Solve for x
    x = 25,121,865,024,976.60/2,313,022.81
  6. Step 6: Final answer
    x = 10,861,053.72

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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.