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Finding the Third Proportional to 3,829,786.31 and 8,297,827.31

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Solution

The third proportional to 3,829,786.31 and 8,297,827.31 is: 17,978,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829,786.31 : 8,297,827.31 = 8,297,827.31 : x
  2. Step 2: Convert to fraction form
    3,829,786.31/8,297,827.31 = 8,297,827.31/x
  3. Step 3: Cross multiply
    3,829,786.31x = 8,297,827.31 × 8,297,827.31
  4. Step 4: Simplify right side
    3,829,786.31x = 68,853,938,108,070.97
  5. Step 5: Solve for x
    x = 68,853,938,108,070.97/3,829,786.31
  6. Step 6: Final answer
    x = 17,978,532.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.