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Finding the Third Proportional to 2,536,265,259 and 5,143,844,538

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Solution

The third proportional to 2,536,265,259 and 5,143,844,538 is: 10,432,322,304.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536,265,259 : 5,143,844,538 = 5,143,844,538 : x
  2. Step 2: Convert to fraction form
    2,536,265,259/5,143,844,538 = 5,143,844,538/x
  3. Step 3: Cross multiply
    2,536,265,259x = 5,143,844,538 × 5,143,844,538
  4. Step 4: Simplify right side
    2,536,265,259x = 26,459,136,631,112,433,664
  5. Step 5: Solve for x
    x = 26,459,136,631,112,433,664/2,536,265,259
  6. Step 6: Final answer
    x = 10,432,322,304.31

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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.