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Finding the Third Proportional to 24,618,249 and 53,022,546

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Solution

The third proportional to 24,618,249 and 53,022,546 is: 114,199,445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,618,249 : 53,022,546 = 53,022,546 : x
  2. Step 2: Convert to fraction form
    24,618,249/53,022,546 = 53,022,546/x
  3. Step 3: Cross multiply
    24,618,249x = 53,022,546 × 53,022,546
  4. Step 4: Simplify right side
    24,618,249x = 2,811,390,384,322,116
  5. Step 5: Solve for x
    x = 2,811,390,384,322,116/24,618,249
  6. Step 6: Final answer
    x = 114,199,445.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.