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Finding the Third Proportional to 383,321,532 and 833,804,960

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Solution

The third proportional to 383,321,532 and 833,804,960 is: 1,813,701,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,321,532 : 833,804,960 = 833,804,960 : x
  2. Step 2: Convert to fraction form
    383,321,532/833,804,960 = 833,804,960/x
  3. Step 3: Cross multiply
    383,321,532x = 833,804,960 × 833,804,960
  4. Step 4: Simplify right side
    383,321,532x = 695,230,711,320,601,600
  5. Step 5: Solve for x
    x = 695,230,711,320,601,600/383,321,532
  6. Step 6: Final answer
    x = 1,813,701,170.64

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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.