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Finding the Third Proportional to 4,480,896 and 9,832,704

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Solution

The third proportional to 4,480,896 and 9,832,704 is: 21,576,503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480,896 : 9,832,704 = 9,832,704 : x
  2. Step 2: Convert to fraction form
    4,480,896/9,832,704 = 9,832,704/x
  3. Step 3: Cross multiply
    4,480,896x = 9,832,704 × 9,832,704
  4. Step 4: Simplify right side
    4,480,896x = 96,682,067,951,616
  5. Step 5: Solve for x
    x = 96,682,067,951,616/4,480,896
  6. Step 6: Final answer
    x = 21,576,503.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.