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Finding the Third Proportional to 4,945,733 and 10,422,825

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Solution

The third proportional to 4,945,733 and 10,422,825 is: 21,965,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945,733 : 10,422,825 = 10,422,825 : x
  2. Step 2: Convert to fraction form
    4,945,733/10,422,825 = 10,422,825/x
  3. Step 3: Cross multiply
    4,945,733x = 10,422,825 × 10,422,825
  4. Step 4: Simplify right side
    4,945,733x = 108,635,280,980,625
  5. Step 5: Solve for x
    x = 108,635,280,980,625/4,945,733
  6. Step 6: Final answer
    x = 21,965,456.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.