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Finding the Third Proportional to 3,640,801,512 and 7,990,267,002

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Solution

The third proportional to 3,640,801,512 and 7,990,267,002 is: 17,535,799,892.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640,801,512 : 7,990,267,002 = 7,990,267,002 : x
  2. Step 2: Convert to fraction form
    3,640,801,512/7,990,267,002 = 7,990,267,002/x
  3. Step 3: Cross multiply
    3,640,801,512x = 7,990,267,002 × 7,990,267,002
  4. Step 4: Simplify right side
    3,640,801,512x = 63,844,366,763,250,065,408
  5. Step 5: Solve for x
    x = 63,844,366,763,250,065,408/3,640,801,512
  6. Step 6: Final answer
    x = 17,535,799,892.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.