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Finding the Third Proportional to 3,824,910 and 8,322,748

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Solution

The third proportional to 3,824,910 and 8,322,748 is: 18,109,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824,910 : 8,322,748 = 8,322,748 : x
  2. Step 2: Convert to fraction form
    3,824,910/8,322,748 = 8,322,748/x
  3. Step 3: Cross multiply
    3,824,910x = 8,322,748 × 8,322,748
  4. Step 4: Simplify right side
    3,824,910x = 69,268,134,271,504
  5. Step 5: Solve for x
    x = 69,268,134,271,504/3,824,910
  6. Step 6: Final answer
    x = 18,109,742.26

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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.