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Finding the Third Proportional to 7,824,144 and 16,950,604

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Solution

The third proportional to 7,824,144 and 16,950,604 is: 36,722,608.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824,144 : 16,950,604 = 16,950,604 : x
  2. Step 2: Convert to fraction form
    7,824,144/16,950,604 = 16,950,604/x
  3. Step 3: Cross multiply
    7,824,144x = 16,950,604 × 16,950,604
  4. Step 4: Simplify right side
    7,824,144x = 287,322,975,964,816
  5. Step 5: Solve for x
    x = 287,322,975,964,816/7,824,144
  6. Step 6: Final answer
    x = 36,722,608.37

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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.