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Finding the Third Proportional to 699,796,652 and 1,503,445,016

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Solution

The third proportional to 699,796,652 and 1,503,445,016 is: 3,230,005,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,796,652 : 1,503,445,016 = 1,503,445,016 : x
  2. Step 2: Convert to fraction form
    699,796,652/1,503,445,016 = 1,503,445,016/x
  3. Step 3: Cross multiply
    699,796,652x = 1,503,445,016 × 1,503,445,016
  4. Step 4: Simplify right side
    699,796,652x = 2,260,346,916,135,240,192
  5. Step 5: Solve for x
    x = 2,260,346,916,135,240,192/699,796,652
  6. Step 6: Final answer
    x = 3,230,005,330.37

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Why These Related Problems?

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