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Finding the Third Proportional to 1,608,705,094 and 3,463,919,761

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Solution

The third proportional to 1,608,705,094 and 3,463,919,761 is: 7,458,632,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608,705,094 : 3,463,919,761 = 3,463,919,761 : x
  2. Step 2: Convert to fraction form
    1,608,705,094/3,463,919,761 = 3,463,919,761/x
  3. Step 3: Cross multiply
    1,608,705,094x = 3,463,919,761 × 3,463,919,761
  4. Step 4: Simplify right side
    1,608,705,094x = 11,998,740,110,646,296,576
  5. Step 5: Solve for x
    x = 11,998,740,110,646,296,576/1,608,705,094
  6. Step 6: Final answer
    x = 7,458,632,508.47

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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.