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Finding the Third Proportional to 37,296,174.50 and 78,457,615

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Solution

The third proportional to 37,296,174.50 and 78,457,615 is: 165,046,346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,296,174.50 : 78,457,615 = 78,457,615 : x
  2. Step 2: Convert to fraction form
    37,296,174.50/78,457,615 = 78,457,615/x
  3. Step 3: Cross multiply
    37,296,174.50x = 78,457,615 × 78,457,615
  4. Step 4: Simplify right side
    37,296,174.50x = 6,155,597,351,488,225
  5. Step 5: Solve for x
    x = 6,155,597,351,488,225/37,296,174.50
  6. Step 6: Final answer
    x = 165,046,346.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.