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Finding the Third Proportional to 281,154,324,957 and 428,309,564,899

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Solution

The third proportional to 281,154,324,957 and 428,309,564,899 is: 652,485,368,709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,154,324,957 : 428,309,564,899 = 428,309,564,899 : x
  2. Step 2: Convert to fraction form
    281,154,324,957/428,309,564,899 = 428,309,564,899/x
  3. Step 3: Cross multiply
    281,154,324,957x = 428,309,564,899 × 428,309,564,899
  4. Step 4: Simplify right side
    281,154,324,957x = 183,449,083,383,970,694,955,008
  5. Step 5: Solve for x
    x = 183,449,083,383,970,694,955,008/281,154,324,957
  6. Step 6: Final answer
    x = 652,485,368,709.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.