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Finding the Third Proportional to 8,285,980 and 17,723,324

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Solution

The third proportional to 8,285,980 and 17,723,324 is: 37,909,361.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285,980 : 17,723,324 = 17,723,324 : x
  2. Step 2: Convert to fraction form
    8,285,980/17,723,324 = 17,723,324/x
  3. Step 3: Cross multiply
    8,285,980x = 17,723,324 × 17,723,324
  4. Step 4: Simplify right side
    8,285,980x = 314,116,213,608,976
  5. Step 5: Solve for x
    x = 314,116,213,608,976/8,285,980
  6. Step 6: Final answer
    x = 37,909,361.79

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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.