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Finding the Third Proportional to 383,321,629 and 833,805,137

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Solution

The third proportional to 383,321,629 and 833,805,137 is: 1,813,701,481.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,321,629 : 833,805,137 = 833,805,137 : x
  2. Step 2: Convert to fraction form
    383,321,629/833,805,137 = 833,805,137/x
  3. Step 3: Cross multiply
    383,321,629x = 833,805,137 × 833,805,137
  4. Step 4: Simplify right side
    383,321,629x = 695,231,006,487,588,736
  5. Step 5: Solve for x
    x = 695,231,006,487,588,736/383,321,629
  6. Step 6: Final answer
    x = 1,813,701,481.71

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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.