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Finding the Third Proportional to 8,286,162 and 19,532,790

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Solution

The third proportional to 8,286,162 and 19,532,790 is: 46,044,222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286,162 : 19,532,790 = 19,532,790 : x
  2. Step 2: Convert to fraction form
    8,286,162/19,532,790 = 19,532,790/x
  3. Step 3: Cross multiply
    8,286,162x = 19,532,790 × 19,532,790
  4. Step 4: Simplify right side
    8,286,162x = 381,529,885,184,100
  5. Step 5: Solve for x
    x = 381,529,885,184,100/8,286,162
  6. Step 6: Final answer
    x = 46,044,222.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.