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Finding the Third Proportional to 24,164,840 and 36,598,233

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Solution

The third proportional to 24,164,840 and 36,598,233 is: 55,428,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,164,840 : 36,598,233 = 36,598,233 : x
  2. Step 2: Convert to fraction form
    24,164,840/36,598,233 = 36,598,233/x
  3. Step 3: Cross multiply
    24,164,840x = 36,598,233 × 36,598,233
  4. Step 4: Simplify right side
    24,164,840x = 1,339,430,658,722,289
  5. Step 5: Solve for x
    x = 1,339,430,658,722,289/24,164,840
  6. Step 6: Final answer
    x = 55,428,906.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.