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Finding the Third Proportional to 573,939,800,772 and 1,233,054,115,470

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Solution

The third proportional to 573,939,800,772 and 1,233,054,115,470 is: 2,649,097,430,832.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,939,800,772 : 1,233,054,115,470 = 1,233,054,115,470 : x
  2. Step 2: Convert to fraction form
    573,939,800,772/1,233,054,115,470 = 1,233,054,115,470/x
  3. Step 3: Cross multiply
    573,939,800,772x = 1,233,054,115,470 × 1,233,054,115,470
  4. Step 4: Simplify right side
    573,939,800,772x = 1,520,422,451,677,504,003,375,104
  5. Step 5: Solve for x
    x = 1,520,422,451,677,504,003,375,104/573,939,800,772
  6. Step 6: Final answer
    x = 2,649,097,430,832.29

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