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Finding the Third Proportional to 8,505,296 and 18,190,816

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Solution

The third proportional to 8,505,296 and 18,190,816 is: 38,905,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505,296 : 18,190,816 = 18,190,816 : x
  2. Step 2: Convert to fraction form
    8,505,296/18,190,816 = 18,190,816/x
  3. Step 3: Cross multiply
    8,505,296x = 18,190,816 × 18,190,816
  4. Step 4: Simplify right side
    8,505,296x = 330,905,786,745,856
  5. Step 5: Solve for x
    x = 330,905,786,745,856/8,505,296
  6. Step 6: Final answer
    x = 38,905,851.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.