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Finding the Third Proportional to 383,321,652 and 833,805,184

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Solution

The third proportional to 383,321,652 and 833,805,184 is: 1,813,701,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,321,652 : 833,805,184 = 833,805,184 : x
  2. Step 2: Convert to fraction form
    383,321,652/833,805,184 = 833,805,184/x
  3. Step 3: Cross multiply
    383,321,652x = 833,805,184 × 833,805,184
  4. Step 4: Simplify right side
    383,321,652x = 695,231,084,865,273,856
  5. Step 5: Solve for x
    x = 695,231,084,865,273,856/383,321,652
  6. Step 6: Final answer
    x = 1,813,701,577.35

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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.