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Finding the Third Proportional to 24,238,296 and 51,835,824

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Solution

The third proportional to 24,238,296 and 51,835,824 is: 110,855,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,238,296 : 51,835,824 = 51,835,824 : x
  2. Step 2: Convert to fraction form
    24,238,296/51,835,824 = 51,835,824/x
  3. Step 3: Cross multiply
    24,238,296x = 51,835,824 × 51,835,824
  4. Step 4: Simplify right side
    24,238,296x = 2,686,952,649,758,976
  5. Step 5: Solve for x
    x = 2,686,952,649,758,976/24,238,296
  6. Step 6: Final answer
    x = 110,855,674.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.