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Finding the Third Proportional to 27,659,208,978 and 59,513,447,727

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Solution

The third proportional to 27,659,208,978 and 59,513,447,727 is: 128,053,208,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,659,208,978 : 59,513,447,727 = 59,513,447,727 : x
  2. Step 2: Convert to fraction form
    27,659,208,978/59,513,447,727 = 59,513,447,727/x
  3. Step 3: Cross multiply
    27,659,208,978x = 59,513,447,727 × 59,513,447,727
  4. Step 4: Simplify right side
    27,659,208,978x = 3,541,850,460,354,361,425,920
  5. Step 5: Solve for x
    x = 3,541,850,460,354,361,425,920/27,659,208,978
  6. Step 6: Final answer
    x = 128,053,208,722.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.