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Finding the Third Proportional to 7,193,067 and 15,409,561

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Solution

The third proportional to 7,193,067 and 15,409,561 is: 33,011,588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193,067 : 15,409,561 = 15,409,561 : x
  2. Step 2: Convert to fraction form
    7,193,067/15,409,561 = 15,409,561/x
  3. Step 3: Cross multiply
    7,193,067x = 15,409,561 × 15,409,561
  4. Step 4: Simplify right side
    7,193,067x = 237,454,570,212,721
  5. Step 5: Solve for x
    x = 237,454,570,212,721/7,193,067
  6. Step 6: Final answer
    x = 33,011,588.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.