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Finding the Third Proportional to 59,728,523,680 and 127,976,505,212

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Solution

The third proportional to 59,728,523,680 and 127,976,505,212 is: 274,207,110,392.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,728,523,680 : 127,976,505,212 = 127,976,505,212 : x
  2. Step 2: Convert to fraction form
    59,728,523,680/127,976,505,212 = 127,976,505,212/x
  3. Step 3: Cross multiply
    59,728,523,680x = 127,976,505,212 × 127,976,505,212
  4. Step 4: Simplify right side
    59,728,523,680x = 16,377,985,886,277,062,361,088
  5. Step 5: Solve for x
    x = 16,377,985,886,277,062,361,088/59,728,523,680
  6. Step 6: Final answer
    x = 274,207,110,392.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.