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Finding the Third Proportional to 6,940,377 and 10,369,741

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Solution

The third proportional to 6,940,377 and 10,369,741 is: 15,493,614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940,377 : 10,369,741 = 10,369,741 : x
  2. Step 2: Convert to fraction form
    6,940,377/10,369,741 = 10,369,741/x
  3. Step 3: Cross multiply
    6,940,377x = 10,369,741 × 10,369,741
  4. Step 4: Simplify right side
    6,940,377x = 107,531,528,407,081
  5. Step 5: Solve for x
    x = 107,531,528,407,081/6,940,377
  6. Step 6: Final answer
    x = 15,493,614.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.