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Finding the Third Proportional to 7,809,795 and 16,962,912

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Solution

The third proportional to 7,809,795 and 16,962,912 is: 36,843,525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809,795 : 16,962,912 = 16,962,912 : x
  2. Step 2: Convert to fraction form
    7,809,795/16,962,912 = 16,962,912/x
  3. Step 3: Cross multiply
    7,809,795x = 16,962,912 × 16,962,912
  4. Step 4: Simplify right side
    7,809,795x = 287,740,383,519,744
  5. Step 5: Solve for x
    x = 287,740,383,519,744/7,809,795
  6. Step 6: Final answer
    x = 36,843,525.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.