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Finding the Third Proportional to 1,621,019,311 and 3,822,813,917

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Solution

The third proportional to 1,621,019,311 and 3,822,813,917 is: 9,015,257,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621,019,311 : 3,822,813,917 = 3,822,813,917 : x
  2. Step 2: Convert to fraction form
    1,621,019,311/3,822,813,917 = 3,822,813,917/x
  3. Step 3: Cross multiply
    1,621,019,311x = 3,822,813,917 × 3,822,813,917
  4. Step 4: Simplify right side
    1,621,019,311x = 14,613,906,244,008,882,176
  5. Step 5: Solve for x
    x = 14,613,906,244,008,882,176/1,621,019,311
  6. Step 6: Final answer
    x = 9,015,257,341.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.