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Finding the Third Proportional to 6,940,370 and 10,369,729

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Solution

The third proportional to 6,940,370 and 10,369,729 is: 15,493,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940,370 : 10,369,729 = 10,369,729 : x
  2. Step 2: Convert to fraction form
    6,940,370/10,369,729 = 10,369,729/x
  3. Step 3: Cross multiply
    6,940,370x = 10,369,729 × 10,369,729
  4. Step 4: Simplify right side
    6,940,370x = 107,531,279,533,441
  5. Step 5: Solve for x
    x = 107,531,279,533,441/6,940,370
  6. Step 6: Final answer
    x = 15,493,594.65

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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.