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Finding the Third Proportional to 7,882,110 and 16,979,706

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Solution

The third proportional to 7,882,110 and 16,979,706 is: 36,577,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882,110 : 16,979,706 = 16,979,706 : x
  2. Step 2: Convert to fraction form
    7,882,110/16,979,706 = 16,979,706/x
  3. Step 3: Cross multiply
    7,882,110x = 16,979,706 × 16,979,706
  4. Step 4: Simplify right side
    7,882,110x = 288,310,415,846,436
  5. Step 5: Solve for x
    x = 288,310,415,846,436/7,882,110
  6. Step 6: Final answer
    x = 36,577,821.91

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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.