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Finding the Third Proportional to 9,632,009 and 13,207,930

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Solution

The third proportional to 9,632,009 and 13,207,930 is: 18,111,425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632,009 : 13,207,930 = 13,207,930 : x
  2. Step 2: Convert to fraction form
    9,632,009/13,207,930 = 13,207,930/x
  3. Step 3: Cross multiply
    9,632,009x = 13,207,930 × 13,207,930
  4. Step 4: Simplify right side
    9,632,009x = 174,449,414,884,900
  5. Step 5: Solve for x
    x = 174,449,414,884,900/9,632,009
  6. Step 6: Final answer
    x = 18,111,425.65

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