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Finding the Third Proportional to 2,591,019,906.75 and 5,594,906,935.13

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Solution

The third proportional to 2,591,019,906.75 and 5,594,906,935.13 is: 12,081,336,593.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591,019,906.75 : 5,594,906,935.13 = 5,594,906,935.13 : x
  2. Step 2: Convert to fraction form
    2,591,019,906.75/5,594,906,935.13 = 5,594,906,935.13/x
  3. Step 3: Cross multiply
    2,591,019,906.75x = 5,594,906,935.13 × 5,594,906,935.13
  4. Step 4: Simplify right side
    2,591,019,906.75x = 31,302,983,612,709,822,464
  5. Step 5: Solve for x
    x = 31,302,983,612,709,822,464/2,591,019,906.75
  6. Step 6: Final answer
    x = 12,081,336,593.04

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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.