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Finding the Third Proportional to 202,436,632,776 and 421,628,826,093

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Solution

The third proportional to 202,436,632,776 and 421,628,826,093 is: 878,155,621,118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,436,632,776 : 421,628,826,093 = 421,628,826,093 : x
  2. Step 2: Convert to fraction form
    202,436,632,776/421,628,826,093 = 421,628,826,093/x
  3. Step 3: Cross multiply
    202,436,632,776x = 421,628,826,093 × 421,628,826,093
  4. Step 4: Simplify right side
    202,436,632,776x = 177,770,866,992,561,222,844,416
  5. Step 5: Solve for x
    x = 177,770,866,992,561,222,844,416/202,436,632,776
  6. Step 6: Final answer
    x = 878,155,621,118.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.