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Finding the Third Proportional to 33,060,144 and 77,201,012

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Solution

The third proportional to 33,060,144 and 77,201,012 is: 180,277,383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,060,144 : 77,201,012 = 77,201,012 : x
  2. Step 2: Convert to fraction form
    33,060,144/77,201,012 = 77,201,012/x
  3. Step 3: Cross multiply
    33,060,144x = 77,201,012 × 77,201,012
  4. Step 4: Simplify right side
    33,060,144x = 5,959,996,253,824,144
  5. Step 5: Solve for x
    x = 5,959,996,253,824,144/33,060,144
  6. Step 6: Final answer
    x = 180,277,383.36

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.