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Finding the Third Proportional to 9,632,015 and 13,207,939

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Solution

The third proportional to 9,632,015 and 13,207,939 is: 18,111,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632,015 : 13,207,939 = 13,207,939 : x
  2. Step 2: Convert to fraction form
    9,632,015/13,207,939 = 13,207,939/x
  3. Step 3: Cross multiply
    9,632,015x = 13,207,939 × 13,207,939
  4. Step 4: Simplify right side
    9,632,015x = 174,449,652,627,721
  5. Step 5: Solve for x
    x = 174,449,652,627,721/9,632,015
  6. Step 6: Final answer
    x = 18,111,439.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.