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Finding the Third Proportional to 3,407,115 and 6,914,349

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Solution

The third proportional to 3,407,115 and 6,914,349 is: 14,031,878.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407,115 : 6,914,349 = 6,914,349 : x
  2. Step 2: Convert to fraction form
    3,407,115/6,914,349 = 6,914,349/x
  3. Step 3: Cross multiply
    3,407,115x = 6,914,349 × 6,914,349
  4. Step 4: Simplify right side
    3,407,115x = 47,808,222,093,801
  5. Step 5: Solve for x
    x = 47,808,222,093,801/3,407,115
  6. Step 6: Final answer
    x = 14,031,878.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.