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Finding the Third Proportional to 276,262,894,258.88 and 601,172,261,760.26

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Solution

The third proportional to 276,262,894,258.88 and 601,172,261,760.26 is: 1,308,203,511,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,262,894,258.88 : 601,172,261,760.26 = 601,172,261,760.26 : x
  2. Step 2: Convert to fraction form
    276,262,894,258.88/601,172,261,760.26 = 601,172,261,760.26/x
  3. Step 3: Cross multiply
    276,262,894,258.88x = 601,172,261,760.26 × 601,172,261,760.26
  4. Step 4: Simplify right side
    276,262,894,258.88x = 361,408,088,309,946,596,196,352
  5. Step 5: Solve for x
    x = 361,408,088,309,946,596,196,352/276,262,894,258.88
  6. Step 6: Final answer
    x = 1,308,203,511,294.86

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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.