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Finding the Third Proportional to 6,522,382 and 13,834,027

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Solution

The third proportional to 6,522,382 and 13,834,027 is: 29,342,087.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522,382 : 13,834,027 = 13,834,027 : x
  2. Step 2: Convert to fraction form
    6,522,382/13,834,027 = 13,834,027/x
  3. Step 3: Cross multiply
    6,522,382x = 13,834,027 × 13,834,027
  4. Step 4: Simplify right side
    6,522,382x = 191,380,303,036,729
  5. Step 5: Solve for x
    x = 191,380,303,036,729/6,522,382
  6. Step 6: Final answer
    x = 29,342,087.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.