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Finding the Third Proportional to 5,457,244 and 11,882,657

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Solution

The third proportional to 5,457,244 and 11,882,657 is: 25,873,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457,244 : 11,882,657 = 11,882,657 : x
  2. Step 2: Convert to fraction form
    5,457,244/11,882,657 = 11,882,657/x
  3. Step 3: Cross multiply
    5,457,244x = 11,882,657 × 11,882,657
  4. Step 4: Simplify right side
    5,457,244x = 141,197,537,379,649
  5. Step 5: Solve for x
    x = 141,197,537,379,649/5,457,244
  6. Step 6: Final answer
    x = 25,873,414.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.