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Finding the Third Proportional to 7,633,836 and 16,463,322

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Solution

The third proportional to 7,633,836 and 16,463,322 is: 35,505,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633,836 : 16,463,322 = 16,463,322 : x
  2. Step 2: Convert to fraction form
    7,633,836/16,463,322 = 16,463,322/x
  3. Step 3: Cross multiply
    7,633,836x = 16,463,322 × 16,463,322
  4. Step 4: Simplify right side
    7,633,836x = 271,040,971,275,684
  5. Step 5: Solve for x
    x = 271,040,971,275,684/7,633,836
  6. Step 6: Final answer
    x = 35,505,212.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.