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Finding the Third Proportional to 23,943,770,809.50 and 33,675,311,679

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Solution

The third proportional to 23,943,770,809.50 and 33,675,311,679 is: 47,362,072,820.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,943,770,809.50 : 33,675,311,679 = 33,675,311,679 : x
  2. Step 2: Convert to fraction form
    23,943,770,809.50/33,675,311,679 = 33,675,311,679/x
  3. Step 3: Cross multiply
    23,943,770,809.50x = 33,675,311,679 × 33,675,311,679
  4. Step 4: Simplify right side
    23,943,770,809.50x = 1,134,026,616,677,793,792,000
  5. Step 5: Solve for x
    x = 1,134,026,616,677,793,792,000/23,943,770,809.50
  6. Step 6: Final answer
    x = 47,362,072,820.54

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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.