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Finding the Third Proportional to 4,529,874,255,376.80 and 9,936,755,500,207.60

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Solution

The third proportional to 4,529,874,255,376.80 and 9,936,755,500,207.60 is: 21,797,318,049,989.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,529,874,255,376.80 : 9,936,755,500,207.60 = 9,936,755,500,207.60 : x
  2. Step 2: Convert to fraction form
    4,529,874,255,376.80/9,936,755,500,207.60 = 9,936,755,500,207.60/x
  3. Step 3: Cross multiply
    4,529,874,255,376.80x = 9,936,755,500,207.60 × 9,936,755,500,207.60
  4. Step 4: Simplify right side
    4,529,874,255,376.80x = 98,739,109,870,905,982,380,408,832
  5. Step 5: Solve for x
    x = 98,739,109,870,905,982,380,408,832/4,529,874,255,376.80
  6. Step 6: Final answer
    x = 21,797,318,049,989.17

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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.