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Finding the Third Proportional to 3,678,365.25 and 6,056,811

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Solution

The third proportional to 3,678,365.25 and 6,056,811 is: 9,973,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678,365.25 : 6,056,811 = 6,056,811 : x
  2. Step 2: Convert to fraction form
    3,678,365.25/6,056,811 = 6,056,811/x
  3. Step 3: Cross multiply
    3,678,365.25x = 6,056,811 × 6,056,811
  4. Step 4: Simplify right side
    3,678,365.25x = 36,684,959,489,721
  5. Step 5: Solve for x
    x = 36,684,959,489,721/3,678,365.25
  6. Step 6: Final answer
    x = 9,973,169.33

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.