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Finding the Third Proportional to 44,469,042.75 and 66,441,995.44

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Solution

The third proportional to 44,469,042.75 and 66,441,995.44 is: 99,272,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,469,042.75 : 66,441,995.44 = 66,441,995.44 : x
  2. Step 2: Convert to fraction form
    44,469,042.75/66,441,995.44 = 66,441,995.44/x
  3. Step 3: Cross multiply
    44,469,042.75x = 66,441,995.44 × 66,441,995.44
  4. Step 4: Simplify right side
    44,469,042.75x = 4,414,538,757,716,771
  5. Step 5: Solve for x
    x = 4,414,538,757,716,771/44,469,042.75
  6. Step 6: Final answer
    x = 99,272,178.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.