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Finding the Third Proportional to 2,738,336 and 6,106,306

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Solution

The third proportional to 2,738,336 and 6,106,306 is: 13,616,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738,336 : 6,106,306 = 6,106,306 : x
  2. Step 2: Convert to fraction form
    2,738,336/6,106,306 = 6,106,306/x
  3. Step 3: Cross multiply
    2,738,336x = 6,106,306 × 6,106,306
  4. Step 4: Simplify right side
    2,738,336x = 37,286,972,965,636
  5. Step 5: Solve for x
    x = 37,286,972,965,636/2,738,336
  6. Step 6: Final answer
    x = 13,616,653.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.