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Finding the Third Proportional to 10,150,096.50 and 15,740,537.63

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Solution

The third proportional to 10,150,096.50 and 15,740,537.63 is: 24,410,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150,096.50 : 15,740,537.63 = 15,740,537.63 : x
  2. Step 2: Convert to fraction form
    10,150,096.50/15,740,537.63 = 15,740,537.63/x
  3. Step 3: Cross multiply
    10,150,096.50x = 15,740,537.63 × 15,740,537.63
  4. Step 4: Simplify right side
    10,150,096.50x = 247,764,524,724,040.62
  5. Step 5: Solve for x
    x = 247,764,524,724,040.62/10,150,096.50
  6. Step 6: Final answer
    x = 24,410,065.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.