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Finding the Third Proportional to 2,410,375,539,580 and 5,204,189,448,304

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Solution

The third proportional to 2,410,375,539,580 and 5,204,189,448,304 is: 11,236,252,347,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410,375,539,580 : 5,204,189,448,304 = 5,204,189,448,304 : x
  2. Step 2: Convert to fraction form
    2,410,375,539,580/5,204,189,448,304 = 5,204,189,448,304/x
  3. Step 3: Cross multiply
    2,410,375,539,580x = 5,204,189,448,304 × 5,204,189,448,304
  4. Step 4: Simplify right side
    2,410,375,539,580x = 27,083,587,813,838,689,981,693,952
  5. Step 5: Solve for x
    x = 27,083,587,813,838,689,981,693,952/2,410,375,539,580
  6. Step 6: Final answer
    x = 11,236,252,347,033.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.