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Finding the Third Proportional to 6,542,898 and 9,932,067

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Solution

The third proportional to 6,542,898 and 9,932,067 is: 15,076,798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542,898 : 9,932,067 = 9,932,067 : x
  2. Step 2: Convert to fraction form
    6,542,898/9,932,067 = 9,932,067/x
  3. Step 3: Cross multiply
    6,542,898x = 9,932,067 × 9,932,067
  4. Step 4: Simplify right side
    6,542,898x = 98,645,954,892,489
  5. Step 5: Solve for x
    x = 98,645,954,892,489/6,542,898
  6. Step 6: Final answer
    x = 15,076,798.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.