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Finding the Third Proportional to 29,895,955,832 and 42,046,661,601

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Solution

The third proportional to 29,895,955,832 and 42,046,661,601 is: 59,135,816,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,895,955,832 : 42,046,661,601 = 42,046,661,601 : x
  2. Step 2: Convert to fraction form
    29,895,955,832/42,046,661,601 = 42,046,661,601/x
  3. Step 3: Cross multiply
    29,895,955,832x = 42,046,661,601 × 42,046,661,601
  4. Step 4: Simplify right side
    29,895,955,832x = 1,767,921,751,789,007,798,272
  5. Step 5: Solve for x
    x = 1,767,921,751,789,007,798,272/29,895,955,832
  6. Step 6: Final answer
    x = 59,135,816,286.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.