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Finding the Third Proportional to 8,089,159.50 and 17,175,591

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Solution

The third proportional to 8,089,159.50 and 17,175,591 is: 36,468,674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089,159.50 : 17,175,591 = 17,175,591 : x
  2. Step 2: Convert to fraction form
    8,089,159.50/17,175,591 = 17,175,591/x
  3. Step 3: Cross multiply
    8,089,159.50x = 17,175,591 × 17,175,591
  4. Step 4: Simplify right side
    8,089,159.50x = 295,000,926,199,281
  5. Step 5: Solve for x
    x = 295,000,926,199,281/8,089,159.50
  6. Step 6: Final answer
    x = 36,468,674.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.