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Finding the Third Proportional to 3,824,906 and 8,322,742

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Solution

The third proportional to 3,824,906 and 8,322,742 is: 18,109,735.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824,906 : 8,322,742 = 8,322,742 : x
  2. Step 2: Convert to fraction form
    3,824,906/8,322,742 = 8,322,742/x
  3. Step 3: Cross multiply
    3,824,906x = 8,322,742 × 8,322,742
  4. Step 4: Simplify right side
    3,824,906x = 69,268,034,398,564
  5. Step 5: Solve for x
    x = 69,268,034,398,564/3,824,906
  6. Step 6: Final answer
    x = 18,109,735.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.