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Finding the Third Proportional to 276,262,894,267.50 and 601,172,261,777

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Solution

The third proportional to 276,262,894,267.50 and 601,172,261,777 is: 1,308,203,511,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,262,894,267.50 : 601,172,261,777 = 601,172,261,777 : x
  2. Step 2: Convert to fraction form
    276,262,894,267.50/601,172,261,777 = 601,172,261,777/x
  3. Step 3: Cross multiply
    276,262,894,267.50x = 601,172,261,777 × 601,172,261,777
  4. Step 4: Simplify right side
    276,262,894,267.50x = 361,408,088,330,073,819,578,368
  5. Step 5: Solve for x
    x = 361,408,088,330,073,819,578,368/276,262,894,267.50
  6. Step 6: Final answer
    x = 1,308,203,511,326.89

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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.