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Finding the Third Proportional to 40,941,765 and 87,552,233

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Solution

The third proportional to 40,941,765 and 87,552,233 is: 187,226,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,941,765 : 87,552,233 = 87,552,233 : x
  2. Step 2: Convert to fraction form
    40,941,765/87,552,233 = 87,552,233/x
  3. Step 3: Cross multiply
    40,941,765x = 87,552,233 × 87,552,233
  4. Step 4: Simplify right side
    40,941,765x = 7,665,393,503,286,289
  5. Step 5: Solve for x
    x = 7,665,393,503,286,289/40,941,765
  6. Step 6: Final answer
    x = 187,226,747.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.