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Finding the Third Proportional to 5,324,811.75 and 11,663,200.13

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Solution

The third proportional to 5,324,811.75 and 11,663,200.13 is: 25,546,487.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324,811.75 : 11,663,200.13 = 11,663,200.13 : x
  2. Step 2: Convert to fraction form
    5,324,811.75/11,663,200.13 = 11,663,200.13/x
  3. Step 3: Cross multiply
    5,324,811.75x = 11,663,200.13 × 11,663,200.13
  4. Step 4: Simplify right side
    5,324,811.75x = 136,030,237,155,800.02
  5. Step 5: Solve for x
    x = 136,030,237,155,800.02/5,324,811.75
  6. Step 6: Final answer
    x = 25,546,487.56

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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.