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Finding the Third Proportional to 8,063,194 and 17,409,067

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Solution

The third proportional to 8,063,194 and 17,409,067 is: 37,587,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,063,194 : 17,409,067 = 17,409,067 : x
  2. Step 2: Convert to fraction form
    8,063,194/17,409,067 = 17,409,067/x
  3. Step 3: Cross multiply
    8,063,194x = 17,409,067 × 17,409,067
  4. Step 4: Simplify right side
    8,063,194x = 303,075,613,810,489
  5. Step 5: Solve for x
    x = 303,075,613,810,489/8,063,194
  6. Step 6: Final answer
    x = 37,587,538.36

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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.