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Finding the Third Proportional to 582,084,781,317 and 1,266,667,481,565

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Solution

The third proportional to 582,084,781,317 and 1,266,667,481,565 is: 2,756,379,414,737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,084,781,317 : 1,266,667,481,565 = 1,266,667,481,565 : x
  2. Step 2: Convert to fraction form
    582,084,781,317/1,266,667,481,565 = 1,266,667,481,565/x
  3. Step 3: Cross multiply
    582,084,781,317x = 1,266,667,481,565 × 1,266,667,481,565
  4. Step 4: Simplify right side
    582,084,781,317x = 1,604,446,508,854,219,659,804,672
  5. Step 5: Solve for x
    x = 1,604,446,508,854,219,659,804,672/582,084,781,317
  6. Step 6: Final answer
    x = 2,756,379,414,737.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.