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Finding the Third Proportional to 276,262,894,258.88 and 601,172,261,760.25

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Solution

The third proportional to 276,262,894,258.88 and 601,172,261,760.25 is: 1,308,203,511,294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,262,894,258.88 : 601,172,261,760.25 = 601,172,261,760.25 : x
  2. Step 2: Convert to fraction form
    276,262,894,258.88/601,172,261,760.25 = 601,172,261,760.25/x
  3. Step 3: Cross multiply
    276,262,894,258.88x = 601,172,261,760.25 × 601,172,261,760.25
  4. Step 4: Simplify right side
    276,262,894,258.88x = 361,408,088,309,934,516,600,832
  5. Step 5: Solve for x
    x = 361,408,088,309,934,516,600,832/276,262,894,258.88
  6. Step 6: Final answer
    x = 1,308,203,511,294.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.