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Finding the Third Proportional to 3,678,914 and 8,042,116

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Solution

The third proportional to 3,678,914 and 8,042,116 is: 17,580,087.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678,914 : 8,042,116 = 8,042,116 : x
  2. Step 2: Convert to fraction form
    3,678,914/8,042,116 = 8,042,116/x
  3. Step 3: Cross multiply
    3,678,914x = 8,042,116 × 8,042,116
  4. Step 4: Simplify right side
    3,678,914x = 64,675,629,757,456
  5. Step 5: Solve for x
    x = 64,675,629,757,456/3,678,914
  6. Step 6: Final answer
    x = 17,580,087.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.