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Finding the Third Proportional to 4,057,138 and 6,318,349

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Solution

The third proportional to 4,057,138 and 6,318,349 is: 9,839,826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057,138 : 6,318,349 = 6,318,349 : x
  2. Step 2: Convert to fraction form
    4,057,138/6,318,349 = 6,318,349/x
  3. Step 3: Cross multiply
    4,057,138x = 6,318,349 × 6,318,349
  4. Step 4: Simplify right side
    4,057,138x = 39,921,534,085,801
  5. Step 5: Solve for x
    x = 39,921,534,085,801/4,057,138
  6. Step 6: Final answer
    x = 9,839,826.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.