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Finding the Third Proportional to 7,727,409 and 16,782,245

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Solution

The third proportional to 7,727,409 and 16,782,245 is: 36,447,371.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727,409 : 16,782,245 = 16,782,245 : x
  2. Step 2: Convert to fraction form
    7,727,409/16,782,245 = 16,782,245/x
  3. Step 3: Cross multiply
    7,727,409x = 16,782,245 × 16,782,245
  4. Step 4: Simplify right side
    7,727,409x = 281,643,747,240,025
  5. Step 5: Solve for x
    x = 281,643,747,240,025/7,727,409
  6. Step 6: Final answer
    x = 36,447,371.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.