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Finding the Third Proportional to 13,035,147 and 17,751,645

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Solution

The third proportional to 13,035,147 and 17,751,645 is: 24,174,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035,147 : 17,751,645 = 17,751,645 : x
  2. Step 2: Convert to fraction form
    13,035,147/17,751,645 = 17,751,645/x
  3. Step 3: Cross multiply
    13,035,147x = 17,751,645 × 17,751,645
  4. Step 4: Simplify right side
    13,035,147x = 315,120,900,206,025
  5. Step 5: Solve for x
    x = 315,120,900,206,025/13,035,147
  6. Step 6: Final answer
    x = 24,174,710.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.