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Finding the Third Proportional to 3,383,646,120 and 5,172,722,883

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Solution

The third proportional to 3,383,646,120 and 5,172,722,883 is: 7,907,760,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383,646,120 : 5,172,722,883 = 5,172,722,883 : x
  2. Step 2: Convert to fraction form
    3,383,646,120/5,172,722,883 = 5,172,722,883/x
  3. Step 3: Cross multiply
    3,383,646,120x = 5,172,722,883 × 5,172,722,883
  4. Step 4: Simplify right side
    3,383,646,120x = 26,757,062,024,311,832,576
  5. Step 5: Solve for x
    x = 26,757,062,024,311,832,576/3,383,646,120
  6. Step 6: Final answer
    x = 7,907,760,172.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.