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Finding the Third Proportional to 11,653,974 and 18,281,634

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Solution

The third proportional to 11,653,974 and 18,281,634 is: 28,678,469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653,974 : 18,281,634 = 18,281,634 : x
  2. Step 2: Convert to fraction form
    11,653,974/18,281,634 = 18,281,634/x
  3. Step 3: Cross multiply
    11,653,974x = 18,281,634 × 18,281,634
  4. Step 4: Simplify right side
    11,653,974x = 334,218,141,709,956
  5. Step 5: Solve for x
    x = 334,218,141,709,956/11,653,974
  6. Step 6: Final answer
    x = 28,678,469.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.