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Finding the Third Proportional to 23,469,824 and 37,345,104

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Solution

The third proportional to 23,469,824 and 37,345,104 is: 59,423,402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,469,824 : 37,345,104 = 37,345,104 : x
  2. Step 2: Convert to fraction form
    23,469,824/37,345,104 = 37,345,104/x
  3. Step 3: Cross multiply
    23,469,824x = 37,345,104 × 37,345,104
  4. Step 4: Simplify right side
    23,469,824x = 1,394,656,792,770,816
  5. Step 5: Solve for x
    x = 1,394,656,792,770,816/23,469,824
  6. Step 6: Final answer
    x = 59,423,402.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.