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Finding the Third Proportional to 33,963,025 and 73,303,610

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Solution

The third proportional to 33,963,025 and 73,303,610 is: 158,213,799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,963,025 : 73,303,610 = 73,303,610 : x
  2. Step 2: Convert to fraction form
    33,963,025/73,303,610 = 73,303,610/x
  3. Step 3: Cross multiply
    33,963,025x = 73,303,610 × 73,303,610
  4. Step 4: Simplify right side
    33,963,025x = 5,373,419,239,032,100
  5. Step 5: Solve for x
    x = 5,373,419,239,032,100/33,963,025
  6. Step 6: Final answer
    x = 158,213,799.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.