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Finding the Third Proportional to 3,434,006 and 7,465,885

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Solution

The third proportional to 3,434,006 and 7,465,885 is: 16,231,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434,006 : 7,465,885 = 7,465,885 : x
  2. Step 2: Convert to fraction form
    3,434,006/7,465,885 = 7,465,885/x
  3. Step 3: Cross multiply
    3,434,006x = 7,465,885 × 7,465,885
  4. Step 4: Simplify right side
    3,434,006x = 55,739,438,833,225
  5. Step 5: Solve for x
    x = 55,739,438,833,225/3,434,006
  6. Step 6: Final answer
    x = 16,231,607.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.