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Finding the Third Proportional to 33,996,680 and 72,844,152

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Solution

The third proportional to 33,996,680 and 72,844,152 is: 156,082,019.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,996,680 : 72,844,152 = 72,844,152 : x
  2. Step 2: Convert to fraction form
    33,996,680/72,844,152 = 72,844,152/x
  3. Step 3: Cross multiply
    33,996,680x = 72,844,152 × 72,844,152
  4. Step 4: Simplify right side
    33,996,680x = 5,306,270,480,599,104
  5. Step 5: Solve for x
    x = 5,306,270,480,599,104/33,996,680
  6. Step 6: Final answer
    x = 156,082,019.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.