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Finding the Third Proportional to 2,448,674 and 5,193,772

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Solution

The third proportional to 2,448,674 and 5,193,772 is: 11,016,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448,674 : 5,193,772 = 5,193,772 : x
  2. Step 2: Convert to fraction form
    2,448,674/5,193,772 = 5,193,772/x
  3. Step 3: Cross multiply
    2,448,674x = 5,193,772 × 5,193,772
  4. Step 4: Simplify right side
    2,448,674x = 26,975,267,587,984
  5. Step 5: Solve for x
    x = 26,975,267,587,984/2,448,674
  6. Step 6: Final answer
    x = 11,016,275.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.