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Finding the Third Proportional to 6,271,504 and 13,738,752

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Solution

The third proportional to 6,271,504 and 13,738,752 is: 30,096,976.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271,504 : 13,738,752 = 13,738,752 : x
  2. Step 2: Convert to fraction form
    6,271,504/13,738,752 = 13,738,752/x
  3. Step 3: Cross multiply
    6,271,504x = 13,738,752 × 13,738,752
  4. Step 4: Simplify right side
    6,271,504x = 188,753,306,517,504
  5. Step 5: Solve for x
    x = 188,753,306,517,504/6,271,504
  6. Step 6: Final answer
    x = 30,096,976.18

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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.