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Finding the Third Proportional to 276,262,894,270 and 601,172,261,781

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Solution

The third proportional to 276,262,894,270 and 601,172,261,781 is: 1,308,203,511,332.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,262,894,270 : 601,172,261,781 = 601,172,261,781 : x
  2. Step 2: Convert to fraction form
    276,262,894,270/601,172,261,781 = 601,172,261,781/x
  3. Step 3: Cross multiply
    276,262,894,270x = 601,172,261,781 × 601,172,261,781
  4. Step 4: Simplify right side
    276,262,894,270x = 361,408,088,334,883,176,316,928
  5. Step 5: Solve for x
    x = 361,408,088,334,883,176,316,928/276,262,894,270
  6. Step 6: Final answer
    x = 1,308,203,511,332.46

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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.