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Finding the Third Proportional to 6,940,298 and 10,369,623

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Solution

The third proportional to 6,940,298 and 10,369,623 is: 15,493,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940,298 : 10,369,623 = 10,369,623 : x
  2. Step 2: Convert to fraction form
    6,940,298/10,369,623 = 10,369,623/x
  3. Step 3: Cross multiply
    6,940,298x = 10,369,623 × 10,369,623
  4. Step 4: Simplify right side
    6,940,298x = 107,529,081,162,129
  5. Step 5: Solve for x
    x = 107,529,081,162,129/6,940,298
  6. Step 6: Final answer
    x = 15,493,438.63

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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.