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Finding the Third Proportional to 3,204,330,831,910 and 6,873,822,641,387

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Solution

The third proportional to 3,204,330,831,910 and 6,873,822,641,387 is: 14,745,492,954,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204,330,831,910 : 6,873,822,641,387 = 6,873,822,641,387 : x
  2. Step 2: Convert to fraction form
    3,204,330,831,910/6,873,822,641,387 = 6,873,822,641,387/x
  3. Step 3: Cross multiply
    3,204,330,831,910x = 6,873,822,641,387 × 6,873,822,641,387
  4. Step 4: Simplify right side
    3,204,330,831,910x = 47,249,437,705,244,552,804,171,776
  5. Step 5: Solve for x
    x = 47,249,437,705,244,552,804,171,776/3,204,330,831,910
  6. Step 6: Final answer
    x = 14,745,492,954,321.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.