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Finding the Third Proportional to 2,536,265,241 and 5,143,844,496

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Solution

The third proportional to 2,536,265,241 and 5,143,844,496 is: 10,432,322,207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536,265,241 : 5,143,844,496 = 5,143,844,496 : x
  2. Step 2: Convert to fraction form
    2,536,265,241/5,143,844,496 = 5,143,844,496/x
  3. Step 3: Cross multiply
    2,536,265,241x = 5,143,844,496 × 5,143,844,496
  4. Step 4: Simplify right side
    2,536,265,241x = 26,459,136,199,029,493,760
  5. Step 5: Solve for x
    x = 26,459,136,199,029,493,760/2,536,265,241
  6. Step 6: Final answer
    x = 10,432,322,207.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.