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Finding the Third Proportional to 2,738,376 and 6,106,389

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Solution

The third proportional to 2,738,376 and 6,106,389 is: 13,616,824.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738,376 : 6,106,389 = 6,106,389 : x
  2. Step 2: Convert to fraction form
    2,738,376/6,106,389 = 6,106,389/x
  3. Step 3: Cross multiply
    2,738,376x = 6,106,389 × 6,106,389
  4. Step 4: Simplify right side
    2,738,376x = 37,287,986,619,321
  5. Step 5: Solve for x
    x = 37,287,986,619,321/2,738,376
  6. Step 6: Final answer
    x = 13,616,824.94

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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.