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Finding the Third Proportional to 7,882,222 and 16,979,922

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Solution

The third proportional to 7,882,222 and 16,979,922 is: 36,578,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882,222 : 16,979,922 = 16,979,922 : x
  2. Step 2: Convert to fraction form
    7,882,222/16,979,922 = 16,979,922/x
  3. Step 3: Cross multiply
    7,882,222x = 16,979,922 × 16,979,922
  4. Step 4: Simplify right side
    7,882,222x = 288,317,751,126,084
  5. Step 5: Solve for x
    x = 288,317,751,126,084/7,882,222
  6. Step 6: Final answer
    x = 36,578,232.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.