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Finding the Third Proportional to 355,856,976 and 769,270,608

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Solution

The third proportional to 355,856,976 and 769,270,608 is: 1,662,963,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,856,976 : 769,270,608 = 769,270,608 : x
  2. Step 2: Convert to fraction form
    355,856,976/769,270,608 = 769,270,608/x
  3. Step 3: Cross multiply
    355,856,976x = 769,270,608 × 769,270,608
  4. Step 4: Simplify right side
    355,856,976x = 591,777,268,332,689,664
  5. Step 5: Solve for x
    x = 591,777,268,332,689,664/355,856,976
  6. Step 6: Final answer
    x = 1,662,963,797.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.