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Finding the Third Proportional to 737,161,296 and 1,613,170,848

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Solution

The third proportional to 737,161,296 and 1,613,170,848 is: 3,530,191,016.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,161,296 : 1,613,170,848 = 1,613,170,848 : x
  2. Step 2: Convert to fraction form
    737,161,296/1,613,170,848 = 1,613,170,848/x
  3. Step 3: Cross multiply
    737,161,296x = 1,613,170,848 × 1,613,170,848
  4. Step 4: Simplify right side
    737,161,296x = 2,602,320,184,837,039,104
  5. Step 5: Solve for x
    x = 2,602,320,184,837,039,104/737,161,296
  6. Step 6: Final answer
    x = 3,530,191,016.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.