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Finding the Third Proportional to 106,638,638 and 220,839,002

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Solution

The third proportional to 106,638,638 and 220,839,002 is: 457,337,656.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,638,638 : 220,839,002 = 220,839,002 : x
  2. Step 2: Convert to fraction form
    106,638,638/220,839,002 = 220,839,002/x
  3. Step 3: Cross multiply
    106,638,638x = 220,839,002 × 220,839,002
  4. Step 4: Simplify right side
    106,638,638x = 48,769,864,804,356,000
  5. Step 5: Solve for x
    x = 48,769,864,804,356,000/106,638,638
  6. Step 6: Final answer
    x = 457,337,656.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.