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Finding the Third Proportional to 33,175,122,958 and 73,112,392,544

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Solution

The third proportional to 33,175,122,958 and 73,112,392,544 is: 161,127,419,189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,175,122,958 : 73,112,392,544 = 73,112,392,544 : x
  2. Step 2: Convert to fraction form
    33,175,122,958/73,112,392,544 = 73,112,392,544/x
  3. Step 3: Cross multiply
    33,175,122,958x = 73,112,392,544 × 73,112,392,544
  4. Step 4: Simplify right side
    33,175,122,958x = 5,345,421,943,507,946,307,584
  5. Step 5: Solve for x
    x = 5,345,421,943,507,946,307,584/33,175,122,958
  6. Step 6: Final answer
    x = 161,127,419,189.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.