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Finding the Third Proportional to 3,470,932 and 7,111,016

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Solution

The third proportional to 3,470,932 and 7,111,016 is: 14,568,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470,932 : 7,111,016 = 7,111,016 : x
  2. Step 2: Convert to fraction form
    3,470,932/7,111,016 = 7,111,016/x
  3. Step 3: Cross multiply
    3,470,932x = 7,111,016 × 7,111,016
  4. Step 4: Simplify right side
    3,470,932x = 50,566,548,552,256
  5. Step 5: Solve for x
    x = 50,566,548,552,256/3,470,932
  6. Step 6: Final answer
    x = 14,568,579.43

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.