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Finding the Third Proportional to 33,175,122,954 and 73,112,392,534

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Solution

The third proportional to 33,175,122,954 and 73,112,392,534 is: 161,127,419,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,175,122,954 : 73,112,392,534 = 73,112,392,534 : x
  2. Step 2: Convert to fraction form
    33,175,122,954/73,112,392,534 = 73,112,392,534/x
  3. Step 3: Cross multiply
    33,175,122,954x = 73,112,392,534 × 73,112,392,534
  4. Step 4: Simplify right side
    33,175,122,954x = 5,345,421,942,045,698,686,976
  5. Step 5: Solve for x
    x = 5,345,421,942,045,698,686,976/33,175,122,954
  6. Step 6: Final answer
    x = 161,127,419,164.58

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Why These Related Problems?

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