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Finding the Third Proportional to 24,331,724 and 37,662,351

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Solution

The third proportional to 24,331,724 and 37,662,351 is: 58,296,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,331,724 : 37,662,351 = 37,662,351 : x
  2. Step 2: Convert to fraction form
    24,331,724/37,662,351 = 37,662,351/x
  3. Step 3: Cross multiply
    24,331,724x = 37,662,351 × 37,662,351
  4. Step 4: Simplify right side
    24,331,724x = 1,418,452,682,847,201
  5. Step 5: Solve for x
    x = 1,418,452,682,847,201/24,331,724
  6. Step 6: Final answer
    x = 58,296,431.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.