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Finding the Third Proportional to 12,675,400 and 27,370,832

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Solution

The third proportional to 12,675,400 and 27,370,832 is: 59,103,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675,400 : 27,370,832 = 27,370,832 : x
  2. Step 2: Convert to fraction form
    12,675,400/27,370,832 = 27,370,832/x
  3. Step 3: Cross multiply
    12,675,400x = 27,370,832 × 27,370,832
  4. Step 4: Simplify right side
    12,675,400x = 749,162,444,372,224
  5. Step 5: Solve for x
    x = 749,162,444,372,224/12,675,400
  6. Step 6: Final answer
    x = 59,103,653.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.