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Finding the Third Proportional to 32,764,770,625,906 and 71,297,460,754,815

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Solution

The third proportional to 32,764,770,625,906 and 71,297,460,754,815 is: 155,146,146,698,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,764,770,625,906 : 71,297,460,754,815 = 71,297,460,754,815 : x
  2. Step 2: Convert to fraction form
    32,764,770,625,906/71,297,460,754,815 = 71,297,460,754,815/x
  3. Step 3: Cross multiply
    32,764,770,625,906x = 71,297,460,754,815 × 71,297,460,754,815
  4. Step 4: Simplify right side
    32,764,770,625,906x = 5,083,327,910,084,384,665,056,051,200
  5. Step 5: Solve for x
    x = 5,083,327,910,084,384,665,056,051,200/32,764,770,625,906
  6. Step 6: Final answer
    x = 155,146,146,698,953.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.