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Finding the Third Proportional to 8,263,296 and 17,721,936

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Solution

The third proportional to 8,263,296 and 17,721,936 is: 38,007,474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263,296 : 17,721,936 = 17,721,936 : x
  2. Step 2: Convert to fraction form
    8,263,296/17,721,936 = 17,721,936/x
  3. Step 3: Cross multiply
    8,263,296x = 17,721,936 × 17,721,936
  4. Step 4: Simplify right side
    8,263,296x = 314,067,015,588,096
  5. Step 5: Solve for x
    x = 314,067,015,588,096/8,263,296
  6. Step 6: Final answer
    x = 38,007,474.93

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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.