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Finding the Third Proportional to 550,992,880 and 1,198,836,720

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Solution

The third proportional to 550,992,880 and 1,198,836,720 is: 2,608,399,370.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,992,880 : 1,198,836,720 = 1,198,836,720 : x
  2. Step 2: Convert to fraction form
    550,992,880/1,198,836,720 = 1,198,836,720/x
  3. Step 3: Cross multiply
    550,992,880x = 1,198,836,720 × 1,198,836,720
  4. Step 4: Simplify right side
    550,992,880x = 1,437,209,481,220,358,400
  5. Step 5: Solve for x
    x = 1,437,209,481,220,358,400/550,992,880
  6. Step 6: Final answer
    x = 2,608,399,370.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.