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Finding the Third Proportional to 74,954,010 and 180,567,234

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Solution

The third proportional to 74,954,010 and 180,567,234 is: 434,993,751.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,954,010 : 180,567,234 = 180,567,234 : x
  2. Step 2: Convert to fraction form
    74,954,010/180,567,234 = 180,567,234/x
  3. Step 3: Cross multiply
    74,954,010x = 180,567,234 × 180,567,234
  4. Step 4: Simplify right side
    74,954,010x = 32,604,525,994,410,756
  5. Step 5: Solve for x
    x = 32,604,525,994,410,756/74,954,010
  6. Step 6: Final answer
    x = 434,993,751.43

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.