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Finding the Third Proportional to 6,940,366 and 10,369,723

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Solution

The third proportional to 6,940,366 and 10,369,723 is: 15,493,585.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940,366 : 10,369,723 = 10,369,723 : x
  2. Step 2: Convert to fraction form
    6,940,366/10,369,723 = 10,369,723/x
  3. Step 3: Cross multiply
    6,940,366x = 10,369,723 × 10,369,723
  4. Step 4: Simplify right side
    6,940,366x = 107,531,155,096,729
  5. Step 5: Solve for x
    x = 107,531,155,096,729/6,940,366
  6. Step 6: Final answer
    x = 15,493,585.65

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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.