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Finding the Third Proportional to 24,682,701 and 53,158,449

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Solution

The third proportional to 24,682,701 and 53,158,449 is: 114,485,878.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,682,701 : 53,158,449 = 53,158,449 : x
  2. Step 2: Convert to fraction form
    24,682,701/53,158,449 = 53,158,449/x
  3. Step 3: Cross multiply
    24,682,701x = 53,158,449 × 53,158,449
  4. Step 4: Simplify right side
    24,682,701x = 2,825,820,700,085,601
  5. Step 5: Solve for x
    x = 2,825,820,700,085,601/24,682,701
  6. Step 6: Final answer
    x = 114,485,878.19

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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.