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Finding the Third Proportional to 36,000,225 and 79,178,184

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Solution

The third proportional to 36,000,225 and 79,178,184 is: 174,142,934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,000,225 : 79,178,184 = 79,178,184 : x
  2. Step 2: Convert to fraction form
    36,000,225/79,178,184 = 79,178,184/x
  3. Step 3: Cross multiply
    36,000,225x = 79,178,184 × 79,178,184
  4. Step 4: Simplify right side
    36,000,225x = 6,269,184,821,537,856
  5. Step 5: Solve for x
    x = 6,269,184,821,537,856/36,000,225
  6. Step 6: Final answer
    x = 174,142,934.43

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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.