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Finding the Third Proportional to 2,647,140 and 5,612,134

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Solution

The third proportional to 2,647,140 and 5,612,134 is: 11,898,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647,140 : 5,612,134 = 5,612,134 : x
  2. Step 2: Convert to fraction form
    2,647,140/5,612,134 = 5,612,134/x
  3. Step 3: Cross multiply
    2,647,140x = 5,612,134 × 5,612,134
  4. Step 4: Simplify right side
    2,647,140x = 31,496,048,033,956
  5. Step 5: Solve for x
    x = 31,496,048,033,956/2,647,140
  6. Step 6: Final answer
    x = 11,898,142.16

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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.