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Finding the Third Proportional to 33,144,640 and 78,131,140

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Solution

The third proportional to 33,144,640 and 78,131,140 is: 184,176,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,144,640 : 78,131,140 = 78,131,140 : x
  2. Step 2: Convert to fraction form
    33,144,640/78,131,140 = 78,131,140/x
  3. Step 3: Cross multiply
    33,144,640x = 78,131,140 × 78,131,140
  4. Step 4: Simplify right side
    33,144,640x = 6,104,475,037,699,600
  5. Step 5: Solve for x
    x = 6,104,475,037,699,600/33,144,640
  6. Step 6: Final answer
    x = 184,176,839.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.