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Finding the Third Proportional to 906,262,089.75 and 1,951,972,062.75

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Solution

The third proportional to 906,262,089.75 and 1,951,972,062.75 is: 4,204,296,943.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,262,089.75 : 1,951,972,062.75 = 1,951,972,062.75 : x
  2. Step 2: Convert to fraction form
    906,262,089.75/1,951,972,062.75 = 1,951,972,062.75/x
  3. Step 3: Cross multiply
    906,262,089.75x = 1,951,972,062.75 × 1,951,972,062.75
  4. Step 4: Simplify right side
    906,262,089.75x = 3,810,194,933,756,489,728
  5. Step 5: Solve for x
    x = 3,810,194,933,756,489,728/906,262,089.75
  6. Step 6: Final answer
    x = 4,204,296,943.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.