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Finding the Third Proportional to 11,200,723.88 and 17,599,735.69

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Solution

The third proportional to 11,200,723.88 and 17,599,735.69 is: 27,654,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200,723.88 : 17,599,735.69 = 17,599,735.69 : x
  2. Step 2: Convert to fraction form
    11,200,723.88/17,599,735.69 = 17,599,735.69/x
  3. Step 3: Cross multiply
    11,200,723.88x = 17,599,735.69 × 17,599,735.69
  4. Step 4: Simplify right side
    11,200,723.88x = 309,750,696,269,861.12
  5. Step 5: Solve for x
    x = 309,750,696,269,861.12/11,200,723.88
  6. Step 6: Final answer
    x = 27,654,524.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.