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Finding the Third Proportional to 17,640,765 and 37,984,176

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Solution

The third proportional to 17,640,765 and 37,984,176 is: 81,787,701.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640,765 : 37,984,176 = 37,984,176 : x
  2. Step 2: Convert to fraction form
    17,640,765/37,984,176 = 37,984,176/x
  3. Step 3: Cross multiply
    17,640,765x = 37,984,176 × 37,984,176
  4. Step 4: Simplify right side
    17,640,765x = 1,442,797,626,398,976
  5. Step 5: Solve for x
    x = 1,442,797,626,398,976/17,640,765
  6. Step 6: Final answer
    x = 81,787,701.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.