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Finding the Third Proportional to 51,921,680 and 110,792,809

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Solution

The third proportional to 51,921,680 and 110,792,809 is: 236,414,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,921,680 : 110,792,809 = 110,792,809 : x
  2. Step 2: Convert to fraction form
    51,921,680/110,792,809 = 110,792,809/x
  3. Step 3: Cross multiply
    51,921,680x = 110,792,809 × 110,792,809
  4. Step 4: Simplify right side
    51,921,680x = 12,275,046,526,110,480
  5. Step 5: Solve for x
    x = 12,275,046,526,110,480/51,921,680
  6. Step 6: Final answer
    x = 236,414,663.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.