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Finding the Third Proportional to 2,914,940,270 and 6,294,351,226

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Solution

The third proportional to 2,914,940,270 and 6,294,351,226 is: 13,591,653,236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914,940,270 : 6,294,351,226 = 6,294,351,226 : x
  2. Step 2: Convert to fraction form
    2,914,940,270/6,294,351,226 = 6,294,351,226/x
  3. Step 3: Cross multiply
    2,914,940,270x = 6,294,351,226 × 6,294,351,226
  4. Step 4: Simplify right side
    2,914,940,270x = 39,618,857,356,247,703,552
  5. Step 5: Solve for x
    x = 39,618,857,356,247,703,552/2,914,940,270
  6. Step 6: Final answer
    x = 13,591,653,236.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.