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Finding the Third Proportional to 10,904,974 and 16,510,295

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Solution

The third proportional to 10,904,974 and 16,510,295 is: 24,996,835.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904,974 : 16,510,295 = 16,510,295 : x
  2. Step 2: Convert to fraction form
    10,904,974/16,510,295 = 16,510,295/x
  3. Step 3: Cross multiply
    10,904,974x = 16,510,295 × 16,510,295
  4. Step 4: Simplify right side
    10,904,974x = 272,589,840,987,025
  5. Step 5: Solve for x
    x = 272,589,840,987,025/10,904,974
  6. Step 6: Final answer
    x = 24,996,835.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.