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Finding the Third Proportional to 24,727,838 and 37,826,049

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Solution

The third proportional to 24,727,838 and 37,826,049 is: 57,862,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,727,838 : 37,826,049 = 37,826,049 : x
  2. Step 2: Convert to fraction form
    24,727,838/37,826,049 = 37,826,049/x
  3. Step 3: Cross multiply
    24,727,838x = 37,826,049 × 37,826,049
  4. Step 4: Simplify right side
    24,727,838x = 1,430,809,982,950,401
  5. Step 5: Solve for x
    x = 1,430,809,982,950,401/24,727,838
  6. Step 6: Final answer
    x = 57,862,316.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.