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Finding the Third Proportional to 3,471,021 and 7,475,440

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Solution

The third proportional to 3,471,021 and 7,475,440 is: 16,099,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471,021 : 7,475,440 = 7,475,440 : x
  2. Step 2: Convert to fraction form
    3,471,021/7,475,440 = 7,475,440/x
  3. Step 3: Cross multiply
    3,471,021x = 7,475,440 × 7,475,440
  4. Step 4: Simplify right side
    3,471,021x = 55,882,203,193,600
  5. Step 5: Solve for x
    x = 55,882,203,193,600/3,471,021
  6. Step 6: Final answer
    x = 16,099,644.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.