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Finding the Third Proportional to 4,777,511 and 10,394,799

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Solution

The third proportional to 4,777,511 and 10,394,799 is: 22,616,765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777,511 : 10,394,799 = 10,394,799 : x
  2. Step 2: Convert to fraction form
    4,777,511/10,394,799 = 10,394,799/x
  3. Step 3: Cross multiply
    4,777,511x = 10,394,799 × 10,394,799
  4. Step 4: Simplify right side
    4,777,511x = 108,051,846,250,401
  5. Step 5: Solve for x
    x = 108,051,846,250,401/4,777,511
  6. Step 6: Final answer
    x = 22,616,765.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.