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Finding the Third Proportional to 383,321,625.75 and 833,805,129.25

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Solution

The third proportional to 383,321,625.75 and 833,805,129.25 is: 1,813,701,463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,321,625.75 : 833,805,129.25 = 833,805,129.25 : x
  2. Step 2: Convert to fraction form
    383,321,625.75/833,805,129.25 = 833,805,129.25/x
  3. Step 3: Cross multiply
    383,321,625.75x = 833,805,129.25 × 833,805,129.25
  4. Step 4: Simplify right side
    383,321,625.75x = 695,230,993,563,609,216
  5. Step 5: Solve for x
    x = 695,230,993,563,609,216/383,321,625.75
  6. Step 6: Final answer
    x = 1,813,701,463.37

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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.