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Finding the Third Proportional to 332,341,658 and 769,310,801

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Solution

The third proportional to 332,341,658 and 769,310,801 is: 1,780,815,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,341,658 : 769,310,801 = 769,310,801 : x
  2. Step 2: Convert to fraction form
    332,341,658/769,310,801 = 769,310,801/x
  3. Step 3: Cross multiply
    332,341,658x = 769,310,801 × 769,310,801
  4. Step 4: Simplify right side
    332,341,658x = 591,839,108,535,261,568
  5. Step 5: Solve for x
    x = 591,839,108,535,261,568/332,341,658
  6. Step 6: Final answer
    x = 1,780,815,297.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.