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Finding the Third Proportional to 14,454,744 and 31,428,816

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Solution

The third proportional to 14,454,744 and 31,428,816 is: 68,335,383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454,744 : 31,428,816 = 31,428,816 : x
  2. Step 2: Convert to fraction form
    14,454,744/31,428,816 = 31,428,816/x
  3. Step 3: Cross multiply
    14,454,744x = 31,428,816 × 31,428,816
  4. Step 4: Simplify right side
    14,454,744x = 987,770,475,161,856
  5. Step 5: Solve for x
    x = 987,770,475,161,856/14,454,744
  6. Step 6: Final answer
    x = 68,335,383.54

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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.