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Finding the Third Proportional to 682,943,427 and 1,469,467,836

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Solution

The third proportional to 682,943,427 and 1,469,467,836 is: 3,161,807,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,943,427 : 1,469,467,836 = 1,469,467,836 : x
  2. Step 2: Convert to fraction form
    682,943,427/1,469,467,836 = 1,469,467,836/x
  3. Step 3: Cross multiply
    682,943,427x = 1,469,467,836 × 1,469,467,836
  4. Step 4: Simplify right side
    682,943,427x = 2,159,335,721,038,522,880
  5. Step 5: Solve for x
    x = 2,159,335,721,038,522,880/682,943,427
  6. Step 6: Final answer
    x = 3,161,807,604.66

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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.