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Finding the Third Proportional to 264,321,792 and 566,906,880

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Solution

The third proportional to 264,321,792 and 566,906,880 is: 1,215,879,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,321,792 : 566,906,880 = 566,906,880 : x
  2. Step 2: Convert to fraction form
    264,321,792/566,906,880 = 566,906,880/x
  3. Step 3: Cross multiply
    264,321,792x = 566,906,880 × 566,906,880
  4. Step 4: Simplify right side
    264,321,792x = 321,383,410,591,334,400
  5. Step 5: Solve for x
    x = 321,383,410,591,334,400/264,321,792
  6. Step 6: Final answer
    x = 1,215,879,357.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.