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Finding the Third Proportional to 6,511,711.50 and 14,180,589

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Solution

The third proportional to 6,511,711.50 and 14,180,589 is: 30,881,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511,711.50 : 14,180,589 = 14,180,589 : x
  2. Step 2: Convert to fraction form
    6,511,711.50/14,180,589 = 14,180,589/x
  3. Step 3: Cross multiply
    6,511,711.50x = 14,180,589 × 14,180,589
  4. Step 4: Simplify right side
    6,511,711.50x = 201,089,104,386,921
  5. Step 5: Solve for x
    x = 201,089,104,386,921/6,511,711.50
  6. Step 6: Final answer
    x = 30,881,144.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.