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Finding the Third Proportional to 6,746,940 and 10,378,494

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Solution

The third proportional to 6,746,940 and 10,378,494 is: 15,964,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746,940 : 10,378,494 = 10,378,494 : x
  2. Step 2: Convert to fraction form
    6,746,940/10,378,494 = 10,378,494/x
  3. Step 3: Cross multiply
    6,746,940x = 10,378,494 × 10,378,494
  4. Step 4: Simplify right side
    6,746,940x = 107,713,137,708,036
  5. Step 5: Solve for x
    x = 107,713,137,708,036/6,746,940
  6. Step 6: Final answer
    x = 15,964,739.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.