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Finding the Third Proportional to 36,000,223 and 79,178,179

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Solution

The third proportional to 36,000,223 and 79,178,179 is: 174,142,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,000,223 : 79,178,179 = 79,178,179 : x
  2. Step 2: Convert to fraction form
    36,000,223/79,178,179 = 79,178,179/x
  3. Step 3: Cross multiply
    36,000,223x = 79,178,179 × 79,178,179
  4. Step 4: Simplify right side
    36,000,223x = 6,269,184,029,756,041
  5. Step 5: Solve for x
    x = 6,269,184,029,756,041/36,000,223
  6. Step 6: Final answer
    x = 174,142,922.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.