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Finding the Third Proportional to 4,496,990 and 9,782,837

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Solution

The third proportional to 4,496,990 and 9,782,837 is: 21,281,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496,990 : 9,782,837 = 9,782,837 : x
  2. Step 2: Convert to fraction form
    4,496,990/9,782,837 = 9,782,837/x
  3. Step 3: Cross multiply
    4,496,990x = 9,782,837 × 9,782,837
  4. Step 4: Simplify right side
    4,496,990x = 95,703,899,768,569
  5. Step 5: Solve for x
    x = 95,703,899,768,569/4,496,990
  6. Step 6: Final answer
    x = 21,281,768.42

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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.