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Finding the Third Proportional to 9,920,032 and 14,040,704

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Solution

The third proportional to 9,920,032 and 14,040,704 is: 19,873,057.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920,032 : 14,040,704 = 14,040,704 : x
  2. Step 2: Convert to fraction form
    9,920,032/14,040,704 = 14,040,704/x
  3. Step 3: Cross multiply
    9,920,032x = 14,040,704 × 14,040,704
  4. Step 4: Simplify right side
    9,920,032x = 197,141,368,815,616
  5. Step 5: Solve for x
    x = 197,141,368,815,616/9,920,032
  6. Step 6: Final answer
    x = 19,873,057.75

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.