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Finding the Third Proportional to 9,081,834 and 13,661,019

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Solution

The third proportional to 9,081,834 and 13,661,019 is: 20,549,091.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,081,834 : 13,661,019 = 13,661,019 : x
  2. Step 2: Convert to fraction form
    9,081,834/13,661,019 = 13,661,019/x
  3. Step 3: Cross multiply
    9,081,834x = 13,661,019 × 13,661,019
  4. Step 4: Simplify right side
    9,081,834x = 186,623,440,118,361
  5. Step 5: Solve for x
    x = 186,623,440,118,361/9,081,834
  6. Step 6: Final answer
    x = 20,549,091.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.