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Finding the Third Proportional to 23,882,945 and 52,237,462

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Solution

The third proportional to 23,882,945 and 52,237,462 is: 114,255,274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882,945 : 52,237,462 = 52,237,462 : x
  2. Step 2: Convert to fraction form
    23,882,945/52,237,462 = 52,237,462/x
  3. Step 3: Cross multiply
    23,882,945x = 52,237,462 × 52,237,462
  4. Step 4: Simplify right side
    23,882,945x = 2,728,752,436,201,444
  5. Step 5: Solve for x
    x = 2,728,752,436,201,444/23,882,945
  6. Step 6: Final answer
    x = 114,255,274.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.