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Finding the Third Proportional to 8,288,344.50 and 17,435,580.75

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Solution

The third proportional to 8,288,344.50 and 17,435,580.75 is: 36,677,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288,344.50 : 17,435,580.75 = 17,435,580.75 : x
  2. Step 2: Convert to fraction form
    8,288,344.50/17,435,580.75 = 17,435,580.75/x
  3. Step 3: Cross multiply
    8,288,344.50x = 17,435,580.75 × 17,435,580.75
  4. Step 4: Simplify right side
    8,288,344.50x = 303,999,476,089,770.56
  5. Step 5: Solve for x
    x = 303,999,476,089,770.56/8,288,344.50
  6. Step 6: Final answer
    x = 36,677,948.91

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Why These Related Problems?

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