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Finding the Third Proportional to 5,189,234.63 and 11,355,906.38

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Solution

The third proportional to 5,189,234.63 and 11,355,906.38 is: 24,850,795.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189,234.63 : 11,355,906.38 = 11,355,906.38 : x
  2. Step 2: Convert to fraction form
    5,189,234.63/11,355,906.38 = 11,355,906.38/x
  3. Step 3: Cross multiply
    5,189,234.63x = 11,355,906.38 × 11,355,906.38
  4. Step 4: Simplify right side
    5,189,234.63x = 128,956,609,597,765.64
  5. Step 5: Solve for x
    x = 128,956,609,597,765.64/5,189,234.63
  6. Step 6: Final answer
    x = 24,850,795.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.