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Finding the Third Proportional to 2,754,512,793 and 5,901,993,009

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Solution

The third proportional to 2,754,512,793 and 5,901,993,009 is: 12,645,982,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754,512,793 : 5,901,993,009 = 5,901,993,009 : x
  2. Step 2: Convert to fraction form
    2,754,512,793/5,901,993,009 = 5,901,993,009/x
  3. Step 3: Cross multiply
    2,754,512,793x = 5,901,993,009 × 5,901,993,009
  4. Step 4: Simplify right side
    2,754,512,793x = 34,833,521,478,284,873,728
  5. Step 5: Solve for x
    x = 34,833,521,478,284,873,728/2,754,512,793
  6. Step 6: Final answer
    x = 12,645,982,827.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.