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Finding the Third Proportional to 5,101,771.50 and 11,198,749.50

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Solution

The third proportional to 5,101,771.50 and 11,198,749.50 is: 24,582,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101,771.50 : 11,198,749.50 = 11,198,749.50 : x
  2. Step 2: Convert to fraction form
    5,101,771.50/11,198,749.50 = 11,198,749.50/x
  3. Step 3: Cross multiply
    5,101,771.50x = 11,198,749.50 × 11,198,749.50
  4. Step 4: Simplify right side
    5,101,771.50x = 125,411,990,363,750.25
  5. Step 5: Solve for x
    x = 125,411,990,363,750.25/5,101,771.50
  6. Step 6: Final answer
    x = 24,582,047.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.