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Finding the Third Proportional to 8,099,986.50 and 17,110,494

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Solution

The third proportional to 8,099,986.50 and 17,110,494 is: 36,144,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099,986.50 : 17,110,494 = 17,110,494 : x
  2. Step 2: Convert to fraction form
    8,099,986.50/17,110,494 = 17,110,494/x
  3. Step 3: Cross multiply
    8,099,986.50x = 17,110,494 × 17,110,494
  4. Step 4: Simplify right side
    8,099,986.50x = 292,769,004,924,036
  5. Step 5: Solve for x
    x = 292,769,004,924,036/8,099,986.50
  6. Step 6: Final answer
    x = 36,144,381.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.