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Finding the Third Proportional to 9,475,890 and 13,505,067

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Solution

The third proportional to 9,475,890 and 13,505,067 is: 19,247,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475,890 : 13,505,067 = 13,505,067 : x
  2. Step 2: Convert to fraction form
    9,475,890/13,505,067 = 13,505,067/x
  3. Step 3: Cross multiply
    9,475,890x = 13,505,067 × 13,505,067
  4. Step 4: Simplify right side
    9,475,890x = 182,386,834,674,489
  5. Step 5: Solve for x
    x = 182,386,834,674,489/9,475,890
  6. Step 6: Final answer
    x = 19,247,462.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.