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Finding the Third Proportional to 2,313,609.75 and 5,013,343.97

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Solution

The third proportional to 2,313,609.75 and 5,013,343.97 is: 10,863,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313,609.75 : 5,013,343.97 = 5,013,343.97 : x
  2. Step 2: Convert to fraction form
    2,313,609.75/5,013,343.97 = 5,013,343.97/x
  3. Step 3: Cross multiply
    2,313,609.75x = 5,013,343.97 × 5,013,343.97
  4. Step 4: Simplify right side
    2,313,609.75x = 25,133,617,749,002
  5. Step 5: Solve for x
    x = 25,133,617,749,002/2,313,609.75
  6. Step 6: Final answer
    x = 10,863,378.21

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Why These Related Problems?

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