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Finding the Third Proportional to 6,729,260 and 10,091,419

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Solution

The third proportional to 6,729,260 and 10,091,419 is: 15,133,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729,260 : 10,091,419 = 10,091,419 : x
  2. Step 2: Convert to fraction form
    6,729,260/10,091,419 = 10,091,419/x
  3. Step 3: Cross multiply
    6,729,260x = 10,091,419 × 10,091,419
  4. Step 4: Simplify right side
    6,729,260x = 101,836,737,433,561
  5. Step 5: Solve for x
    x = 101,836,737,433,561/6,729,260
  6. Step 6: Final answer
    x = 15,133,422.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.