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Finding the Third Proportional to 6,271,384 and 13,738,552

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Solution

The third proportional to 6,271,384 and 13,738,552 is: 30,096,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271,384 : 13,738,552 = 13,738,552 : x
  2. Step 2: Convert to fraction form
    6,271,384/13,738,552 = 13,738,552/x
  3. Step 3: Cross multiply
    6,271,384x = 13,738,552 × 13,738,552
  4. Step 4: Simplify right side
    6,271,384x = 188,747,811,056,704
  5. Step 5: Solve for x
    x = 188,747,811,056,704/6,271,384
  6. Step 6: Final answer
    x = 30,096,675.80

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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.