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Finding the Third Proportional to 12,322,678 and 27,478,742

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Solution

The third proportional to 12,322,678 and 27,478,742 is: 61,275,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322,678 : 27,478,742 = 27,478,742 : x
  2. Step 2: Convert to fraction form
    12,322,678/27,478,742 = 27,478,742/x
  3. Step 3: Cross multiply
    12,322,678x = 27,478,742 × 27,478,742
  4. Step 4: Simplify right side
    12,322,678x = 755,081,261,902,564
  5. Step 5: Solve for x
    x = 755,081,261,902,564/12,322,678
  6. Step 6: Final answer
    x = 61,275,743.95

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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.