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Finding the Third Proportional to 6,376,648 and 13,795,280

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Solution

The third proportional to 6,376,648 and 13,795,280 is: 29,844,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376,648 : 13,795,280 = 13,795,280 : x
  2. Step 2: Convert to fraction form
    6,376,648/13,795,280 = 13,795,280/x
  3. Step 3: Cross multiply
    6,376,648x = 13,795,280 × 13,795,280
  4. Step 4: Simplify right side
    6,376,648x = 190,309,750,278,400
  5. Step 5: Solve for x
    x = 190,309,750,278,400/6,376,648
  6. Step 6: Final answer
    x = 29,844,794.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.