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Finding the Third Proportional to 6,524,622 and 15,352,569

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Solution

The third proportional to 6,524,622 and 15,352,569 is: 36,124,908.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524,622 : 15,352,569 = 15,352,569 : x
  2. Step 2: Convert to fraction form
    6,524,622/15,352,569 = 15,352,569/x
  3. Step 3: Cross multiply
    6,524,622x = 15,352,569 × 15,352,569
  4. Step 4: Simplify right side
    6,524,622x = 235,701,374,899,761
  5. Step 5: Solve for x
    x = 235,701,374,899,761/6,524,622
  6. Step 6: Final answer
    x = 36,124,908.83

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.