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Finding the Third Proportional to 6,009,969,568.50 and 8,012,383,150.50

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Solution

The third proportional to 6,009,969,568.50 and 8,012,383,150.50 is: 10,681,964,861.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009,969,568.50 : 8,012,383,150.50 = 8,012,383,150.50 : x
  2. Step 2: Convert to fraction form
    6,009,969,568.50/8,012,383,150.50 = 8,012,383,150.50/x
  3. Step 3: Cross multiply
    6,009,969,568.50x = 8,012,383,150.50 × 8,012,383,150.50
  4. Step 4: Simplify right side
    6,009,969,568.50x = 64,198,283,750,416,302,080
  5. Step 5: Solve for x
    x = 64,198,283,750,416,302,080/6,009,969,568.50
  6. Step 6: Final answer
    x = 10,681,964,861.67

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.