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Finding the Third Proportional to 7,727,832 and 16,783,092

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Solution

The third proportional to 7,727,832 and 16,783,092 is: 36,449,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727,832 : 16,783,092 = 16,783,092 : x
  2. Step 2: Convert to fraction form
    7,727,832/16,783,092 = 16,783,092/x
  3. Step 3: Cross multiply
    7,727,832x = 16,783,092 × 16,783,092
  4. Step 4: Simplify right side
    7,727,832x = 281,672,177,080,464
  5. Step 5: Solve for x
    x = 281,672,177,080,464/7,727,832
  6. Step 6: Final answer
    x = 36,449,055.45

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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.