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Finding the Third Proportional to 133,619,584 and 279,456,471

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Solution

The third proportional to 133,619,584 and 279,456,471 is: 584,464,618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,619,584 : 279,456,471 = 279,456,471 : x
  2. Step 2: Convert to fraction form
    133,619,584/279,456,471 = 279,456,471/x
  3. Step 3: Cross multiply
    133,619,584x = 279,456,471 × 279,456,471
  4. Step 4: Simplify right side
    133,619,584x = 78,095,919,183,773,840
  5. Step 5: Solve for x
    x = 78,095,919,183,773,840/133,619,584
  6. Step 6: Final answer
    x = 584,464,618.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.