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Finding the Third Proportional to 6,271,448 and 13,738,640

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Solution

The third proportional to 6,271,448 and 13,738,640 is: 30,096,754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271,448 : 13,738,640 = 13,738,640 : x
  2. Step 2: Convert to fraction form
    6,271,448/13,738,640 = 13,738,640/x
  3. Step 3: Cross multiply
    6,271,448x = 13,738,640 × 13,738,640
  4. Step 4: Simplify right side
    6,271,448x = 188,750,229,049,600
  5. Step 5: Solve for x
    x = 188,750,229,049,600/6,271,448
  6. Step 6: Final answer
    x = 30,096,754.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.