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Finding the Third Proportional to 383,321,523 and 833,804,942

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Solution

The third proportional to 383,321,523 and 833,804,942 is: 1,813,701,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,321,523 : 833,804,942 = 833,804,942 : x
  2. Step 2: Convert to fraction form
    383,321,523/833,804,942 = 833,804,942/x
  3. Step 3: Cross multiply
    383,321,523x = 833,804,942 × 833,804,942
  4. Step 4: Simplify right side
    383,321,523x = 695,230,681,303,623,424
  5. Step 5: Solve for x
    x = 695,230,681,303,623,424/383,321,523
  6. Step 6: Final answer
    x = 1,813,701,134.92

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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.