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Finding the Third Proportional to 1,632,183,885 and 3,541,481,013

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Solution

The third proportional to 1,632,183,885 and 3,541,481,013 is: 7,684,236,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632,183,885 : 3,541,481,013 = 3,541,481,013 : x
  2. Step 2: Convert to fraction form
    1,632,183,885/3,541,481,013 = 3,541,481,013/x
  3. Step 3: Cross multiply
    1,632,183,885x = 3,541,481,013 × 3,541,481,013
  4. Step 4: Simplify right side
    1,632,183,885x = 12,542,087,765,439,506,432
  5. Step 5: Solve for x
    x = 12,542,087,765,439,506,432/1,632,183,885
  6. Step 6: Final answer
    x = 7,684,236,978.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.