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Finding the Third Proportional to 6,441,057 and 13,890,944.25

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Solution

The third proportional to 6,441,057 and 13,890,944.25 is: 29,957,556.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441,057 : 13,890,944.25 = 13,890,944.25 : x
  2. Step 2: Convert to fraction form
    6,441,057/13,890,944.25 = 13,890,944.25/x
  3. Step 3: Cross multiply
    6,441,057x = 13,890,944.25 × 13,890,944.25
  4. Step 4: Simplify right side
    6,441,057x = 192,958,332,156,608.06
  5. Step 5: Solve for x
    x = 192,958,332,156,608.06/6,441,057
  6. Step 6: Final answer
    x = 29,957,556.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.