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Finding the Third Proportional to 32,764,770,625,896 and 71,297,460,754,812

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Solution

The third proportional to 32,764,770,625,896 and 71,297,460,754,812 is: 155,146,146,698,988.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,764,770,625,896 : 71,297,460,754,812 = 71,297,460,754,812 : x
  2. Step 2: Convert to fraction form
    32,764,770,625,896/71,297,460,754,812 = 71,297,460,754,812/x
  3. Step 3: Cross multiply
    32,764,770,625,896x = 71,297,460,754,812 × 71,297,460,754,812
  4. Step 4: Simplify right side
    32,764,770,625,896x = 5,083,327,910,083,956,955,032,846,336
  5. Step 5: Solve for x
    x = 5,083,327,910,083,956,955,032,846,336/32,764,770,625,896
  6. Step 6: Final answer
    x = 155,146,146,698,988.09

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