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Finding the Third Proportional to 410,770,116 and 913,382,568

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Solution

The third proportional to 410,770,116 and 913,382,568 is: 2,030,984,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,770,116 : 913,382,568 = 913,382,568 : x
  2. Step 2: Convert to fraction form
    410,770,116/913,382,568 = 913,382,568/x
  3. Step 3: Cross multiply
    410,770,116x = 913,382,568 × 913,382,568
  4. Step 4: Simplify right side
    410,770,116x = 834,267,715,526,274,560
  5. Step 5: Solve for x
    x = 834,267,715,526,274,560/410,770,116
  6. Step 6: Final answer
    x = 2,030,984,443.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.