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Finding the Third Proportional to 8,309,538 and 12,431,106

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Solution

The third proportional to 8,309,538 and 12,431,106 is: 18,596,990.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309,538 : 12,431,106 = 12,431,106 : x
  2. Step 2: Convert to fraction form
    8,309,538/12,431,106 = 12,431,106/x
  3. Step 3: Cross multiply
    8,309,538x = 12,431,106 × 12,431,106
  4. Step 4: Simplify right side
    8,309,538x = 154,532,396,383,236
  5. Step 5: Solve for x
    x = 154,532,396,383,236/8,309,538
  6. Step 6: Final answer
    x = 18,596,990.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.