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Finding the Third Proportional to 8,069,067 and 17,413,275

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Solution

The third proportional to 8,069,067 and 17,413,275 is: 37,578,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069,067 : 17,413,275 = 17,413,275 : x
  2. Step 2: Convert to fraction form
    8,069,067/17,413,275 = 17,413,275/x
  3. Step 3: Cross multiply
    8,069,067x = 17,413,275 × 17,413,275
  4. Step 4: Simplify right side
    8,069,067x = 303,222,146,225,625
  5. Step 5: Solve for x
    x = 303,222,146,225,625/8,069,067
  6. Step 6: Final answer
    x = 37,578,340.37

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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.