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Finding the Third Proportional to 4,167,472,120,940 and 9,027,288,570,568

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Solution

The third proportional to 4,167,472,120,940 and 9,027,288,570,568 is: 19,554,285,324,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167,472,120,940 : 9,027,288,570,568 = 9,027,288,570,568 : x
  2. Step 2: Convert to fraction form
    4,167,472,120,940/9,027,288,570,568 = 9,027,288,570,568/x
  3. Step 3: Cross multiply
    4,167,472,120,940x = 9,027,288,570,568 × 9,027,288,570,568
  4. Step 4: Simplify right side
    4,167,472,120,940x = 81,491,938,936,307,641,124,651,008
  5. Step 5: Solve for x
    x = 81,491,938,936,307,641,124,651,008/4,167,472,120,940
  6. Step 6: Final answer
    x = 19,554,285,324,871.38

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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.