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Finding the Third Proportional to 11,453,913 and 24,922,869

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Solution

The third proportional to 11,453,913 and 24,922,869 is: 54,230,322.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453,913 : 24,922,869 = 24,922,869 : x
  2. Step 2: Convert to fraction form
    11,453,913/24,922,869 = 24,922,869/x
  3. Step 3: Cross multiply
    11,453,913x = 24,922,869 × 24,922,869
  4. Step 4: Simplify right side
    11,453,913x = 621,149,399,191,161
  5. Step 5: Solve for x
    x = 621,149,399,191,161/11,453,913
  6. Step 6: Final answer
    x = 54,230,322.79

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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.