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Finding the Third Proportional to 11,926,716 and 25,741,848

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Solution

The third proportional to 11,926,716 and 25,741,848 is: 55,559,530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,926,716 : 25,741,848 = 25,741,848 : x
  2. Step 2: Convert to fraction form
    11,926,716/25,741,848 = 25,741,848/x
  3. Step 3: Cross multiply
    11,926,716x = 25,741,848 × 25,741,848
  4. Step 4: Simplify right side
    11,926,716x = 662,642,738,455,104
  5. Step 5: Solve for x
    x = 662,642,738,455,104/11,926,716
  6. Step 6: Final answer
    x = 55,559,530.26

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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.