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Finding the Third Proportional to 8,281,907 and 16,965,412

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Solution

The third proportional to 8,281,907 and 16,965,412 is: 34,753,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281,907 : 16,965,412 = 16,965,412 : x
  2. Step 2: Convert to fraction form
    8,281,907/16,965,412 = 16,965,412/x
  3. Step 3: Cross multiply
    8,281,907x = 16,965,412 × 16,965,412
  4. Step 4: Simplify right side
    8,281,907x = 287,825,204,329,744
  5. Step 5: Solve for x
    x = 287,825,204,329,744/8,281,907
  6. Step 6: Final answer
    x = 34,753,493.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.