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Finding the Third Proportional to 12,322,684 and 27,478,744

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Solution

The third proportional to 12,322,684 and 27,478,744 is: 61,275,723.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322,684 : 27,478,744 = 27,478,744 : x
  2. Step 2: Convert to fraction form
    12,322,684/27,478,744 = 27,478,744/x
  3. Step 3: Cross multiply
    12,322,684x = 27,478,744 × 27,478,744
  4. Step 4: Simplify right side
    12,322,684x = 755,081,371,817,536
  5. Step 5: Solve for x
    x = 755,081,371,817,536/12,322,684
  6. Step 6: Final answer
    x = 61,275,723.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.