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Finding the Third Proportional to 2,066,244.75 and 4,469,073.75

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Solution

The third proportional to 2,066,244.75 and 4,469,073.75 is: 9,666,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066,244.75 : 4,469,073.75 = 4,469,073.75 : x
  2. Step 2: Convert to fraction form
    2,066,244.75/4,469,073.75 = 4,469,073.75/x
  3. Step 3: Cross multiply
    2,066,244.75x = 4,469,073.75 × 4,469,073.75
  4. Step 4: Simplify right side
    2,066,244.75x = 19,972,620,182,939.06
  5. Step 5: Solve for x
    x = 19,972,620,182,939.06/2,066,244.75
  6. Step 6: Final answer
    x = 9,666,144.43

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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.