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Finding the Third Proportional to 6,794,972 and 14,376,982

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Solution

The third proportional to 6,794,972 and 14,376,982 is: 30,419,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794,972 : 14,376,982 = 14,376,982 : x
  2. Step 2: Convert to fraction form
    6,794,972/14,376,982 = 14,376,982/x
  3. Step 3: Cross multiply
    6,794,972x = 14,376,982 × 14,376,982
  4. Step 4: Simplify right side
    6,794,972x = 206,697,611,428,324
  5. Step 5: Solve for x
    x = 206,697,611,428,324/6,794,972
  6. Step 6: Final answer
    x = 30,419,199.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.