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Finding the Third Proportional to 33,175,123,272 and 73,112,393,196

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Solution

The third proportional to 33,175,123,272 and 73,112,393,196 is: 161,127,420,537.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,175,123,272 : 73,112,393,196 = 73,112,393,196 : x
  2. Step 2: Convert to fraction form
    33,175,123,272/73,112,393,196 = 73,112,393,196/x
  3. Step 3: Cross multiply
    33,175,123,272x = 73,112,393,196 × 73,112,393,196
  4. Step 4: Simplify right side
    33,175,123,272x = 5,345,422,038,846,507,319,296
  5. Step 5: Solve for x
    x = 5,345,422,038,846,507,319,296/33,175,123,272
  6. Step 6: Final answer
    x = 161,127,420,537.97

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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.