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Finding the Third Proportional to 9,297,263 and 20,138,710

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Solution

The third proportional to 9,297,263 and 20,138,710 is: 43,622,261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297,263 : 20,138,710 = 20,138,710 : x
  2. Step 2: Convert to fraction form
    9,297,263/20,138,710 = 20,138,710/x
  3. Step 3: Cross multiply
    9,297,263x = 20,138,710 × 20,138,710
  4. Step 4: Simplify right side
    9,297,263x = 405,567,640,464,100
  5. Step 5: Solve for x
    x = 405,567,640,464,100/9,297,263
  6. Step 6: Final answer
    x = 43,622,261.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.