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Finding the Third Proportional to 27,333,469,081 and 42,598,266,377

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Solution

The third proportional to 27,333,469,081 and 42,598,266,377 is: 66,387,925,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,333,469,081 : 42,598,266,377 = 42,598,266,377 : x
  2. Step 2: Convert to fraction form
    27,333,469,081/42,598,266,377 = 42,598,266,377/x
  3. Step 3: Cross multiply
    27,333,469,081x = 42,598,266,377 × 42,598,266,377
  4. Step 4: Simplify right side
    27,333,469,081x = 1,814,612,298,325,848,752,128
  5. Step 5: Solve for x
    x = 1,814,612,298,325,848,752,128/27,333,469,081
  6. Step 6: Final answer
    x = 66,387,925,109.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.