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Finding the Third Proportional to 9,029,704 and 19,284,016

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Solution

The third proportional to 9,029,704 and 19,284,016 is: 41,183,329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029,704 : 19,284,016 = 19,284,016 : x
  2. Step 2: Convert to fraction form
    9,029,704/19,284,016 = 19,284,016/x
  3. Step 3: Cross multiply
    9,029,704x = 19,284,016 × 19,284,016
  4. Step 4: Simplify right side
    9,029,704x = 371,873,273,088,256
  5. Step 5: Solve for x
    x = 371,873,273,088,256/9,029,704
  6. Step 6: Final answer
    x = 41,183,329.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.