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Finding the Third Proportional to 9,081,944 and 13,661,170

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Solution

The third proportional to 9,081,944 and 13,661,170 is: 20,549,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,081,944 : 13,661,170 = 13,661,170 : x
  2. Step 2: Convert to fraction form
    9,081,944/13,661,170 = 13,661,170/x
  3. Step 3: Cross multiply
    9,081,944x = 13,661,170 × 13,661,170
  4. Step 4: Simplify right side
    9,081,944x = 186,627,565,768,900
  5. Step 5: Solve for x
    x = 186,627,565,768,900/9,081,944
  6. Step 6: Final answer
    x = 20,549,297.13

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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.