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Finding the Third Proportional to 33,140,369,544 and 72,696,885,324

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Solution

The third proportional to 33,140,369,544 and 72,696,885,324 is: 159,468,262,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,140,369,544 : 72,696,885,324 = 72,696,885,324 : x
  2. Step 2: Convert to fraction form
    33,140,369,544/72,696,885,324 = 72,696,885,324/x
  3. Step 3: Cross multiply
    33,140,369,544x = 72,696,885,324 × 72,696,885,324
  4. Step 4: Simplify right side
    33,140,369,544x = 5,284,837,135,810,806,415,360
  5. Step 5: Solve for x
    x = 5,284,837,135,810,806,415,360/33,140,369,544
  6. Step 6: Final answer
    x = 159,468,262,078.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.