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Finding the Third Proportional to 61,221,384 and 133,204,016

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Solution

The third proportional to 61,221,384 and 133,204,016 is: 289,822,096.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,221,384 : 133,204,016 = 133,204,016 : x
  2. Step 2: Convert to fraction form
    61,221,384/133,204,016 = 133,204,016/x
  3. Step 3: Cross multiply
    61,221,384x = 133,204,016 × 133,204,016
  4. Step 4: Simplify right side
    61,221,384x = 17,743,309,878,528,256
  5. Step 5: Solve for x
    x = 17,743,309,878,528,256/61,221,384
  6. Step 6: Final answer
    x = 289,822,096.78

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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.