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Finding the Third Proportional to 3,105,442 and 6,757,634

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Solution

The third proportional to 3,105,442 and 6,757,634 is: 14,705,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105,442 : 6,757,634 = 6,757,634 : x
  2. Step 2: Convert to fraction form
    3,105,442/6,757,634 = 6,757,634/x
  3. Step 3: Cross multiply
    3,105,442x = 6,757,634 × 6,757,634
  4. Step 4: Simplify right side
    3,105,442x = 45,665,617,277,956
  5. Step 5: Solve for x
    x = 45,665,617,277,956/3,105,442
  6. Step 6: Final answer
    x = 14,705,029.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.