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Finding the Third Proportional to 8,261,266.50 and 17,894,997

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Solution

The third proportional to 8,261,266.50 and 17,894,997 is: 38,762,932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261,266.50 : 17,894,997 = 17,894,997 : x
  2. Step 2: Convert to fraction form
    8,261,266.50/17,894,997 = 17,894,997/x
  3. Step 3: Cross multiply
    8,261,266.50x = 17,894,997 × 17,894,997
  4. Step 4: Simplify right side
    8,261,266.50x = 320,230,917,630,009
  5. Step 5: Solve for x
    x = 320,230,917,630,009/8,261,266.50
  6. Step 6: Final answer
    x = 38,762,932.73

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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.