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Finding the Third Proportional to 3,733,016.78 and 5,677,456.27

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Solution

The third proportional to 3,733,016.78 and 5,677,456.27 is: 8,634,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733,016.78 : 5,677,456.27 = 5,677,456.27 : x
  2. Step 2: Convert to fraction form
    3,733,016.78/5,677,456.27 = 5,677,456.27/x
  3. Step 3: Cross multiply
    3,733,016.78x = 5,677,456.27 × 5,677,456.27
  4. Step 4: Simplify right side
    3,733,016.78x = 32,233,509,714,616.41
  5. Step 5: Solve for x
    x = 32,233,509,714,616.41/3,733,016.78
  6. Step 6: Final answer
    x = 8,634,707.96

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