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Finding the Third Proportional to 36,408,163.50 and 78,219,310.50

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Solution

The third proportional to 36,408,163.50 and 78,219,310.50 is: 168,046,392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,408,163.50 : 78,219,310.50 = 78,219,310.50 : x
  2. Step 2: Convert to fraction form
    36,408,163.50/78,219,310.50 = 78,219,310.50/x
  3. Step 3: Cross multiply
    36,408,163.50x = 78,219,310.50 × 78,219,310.50
  4. Step 4: Simplify right side
    36,408,163.50x = 6,118,260,535,095,410
  5. Step 5: Solve for x
    x = 6,118,260,535,095,410/36,408,163.50
  6. Step 6: Final answer
    x = 168,046,392.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.