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Finding the Third Proportional to 24,549,165 and 36,823,743

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Solution

The third proportional to 24,549,165 and 36,823,743 is: 55,235,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,549,165 : 36,823,743 = 36,823,743 : x
  2. Step 2: Convert to fraction form
    24,549,165/36,823,743 = 36,823,743/x
  3. Step 3: Cross multiply
    24,549,165x = 36,823,743 × 36,823,743
  4. Step 4: Simplify right side
    24,549,165x = 1,355,988,048,530,049
  5. Step 5: Solve for x
    x = 1,355,988,048,530,049/24,549,165
  6. Step 6: Final answer
    x = 55,235,607.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.