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Finding the Third Proportional to 3,819,424 and 8,032,064

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Solution

The third proportional to 3,819,424 and 8,032,064 is: 16,891,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819,424 : 8,032,064 = 8,032,064 : x
  2. Step 2: Convert to fraction form
    3,819,424/8,032,064 = 8,032,064/x
  3. Step 3: Cross multiply
    3,819,424x = 8,032,064 × 8,032,064
  4. Step 4: Simplify right side
    3,819,424x = 64,514,052,100,096
  5. Step 5: Solve for x
    x = 64,514,052,100,096/3,819,424
  6. Step 6: Final answer
    x = 16,891,042.24

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.