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Finding the Third Proportional to 9,295,677 and 20,135,011

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Solution

The third proportional to 9,295,677 and 20,135,011 is: 43,613,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295,677 : 20,135,011 = 20,135,011 : x
  2. Step 2: Convert to fraction form
    9,295,677/20,135,011 = 20,135,011/x
  3. Step 3: Cross multiply
    9,295,677x = 20,135,011 × 20,135,011
  4. Step 4: Simplify right side
    9,295,677x = 405,418,667,970,121
  5. Step 5: Solve for x
    x = 405,418,667,970,121/9,295,677
  6. Step 6: Final answer
    x = 43,613,678.48

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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.