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Finding the Third Proportional to 2,536,302,870 and 5,246,586,240

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Solution

The third proportional to 2,536,302,870 and 5,246,586,240 is: 10,853,067,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536,302,870 : 5,246,586,240 = 5,246,586,240 : x
  2. Step 2: Convert to fraction form
    2,536,302,870/5,246,586,240 = 5,246,586,240/x
  3. Step 3: Cross multiply
    2,536,302,870x = 5,246,586,240 × 5,246,586,240
  4. Step 4: Simplify right side
    2,536,302,870x = 27,526,667,173,757,337,600
  5. Step 5: Solve for x
    x = 27,526,667,173,757,337,600/2,536,302,870
  6. Step 6: Final answer
    x = 10,853,067,864.78

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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.