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Finding the Third Proportional to 23,943,770,812 and 33,675,311,682

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Solution

The third proportional to 23,943,770,812 and 33,675,311,682 is: 47,362,072,824.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,943,770,812 : 33,675,311,682 = 33,675,311,682 : x
  2. Step 2: Convert to fraction form
    23,943,770,812/33,675,311,682 = 33,675,311,682/x
  3. Step 3: Cross multiply
    23,943,770,812x = 33,675,311,682 × 33,675,311,682
  4. Step 4: Simplify right side
    23,943,770,812x = 1,134,026,616,879,845,605,376
  5. Step 5: Solve for x
    x = 1,134,026,616,879,845,605,376/23,943,770,812
  6. Step 6: Final answer
    x = 47,362,072,824.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.