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Finding the Third Proportional to 11,014,033.50 and 23,858,258.75

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Solution

The third proportional to 11,014,033.50 and 23,858,258.75 is: 51,681,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,014,033.50 : 23,858,258.75 = 23,858,258.75 : x
  2. Step 2: Convert to fraction form
    11,014,033.50/23,858,258.75 = 23,858,258.75/x
  3. Step 3: Cross multiply
    11,014,033.50x = 23,858,258.75 × 23,858,258.75
  4. Step 4: Simplify right side
    11,014,033.50x = 569,216,510,581,951.50
  5. Step 5: Solve for x
    x = 569,216,510,581,951.50/11,014,033.50
  6. Step 6: Final answer
    x = 51,681,022.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.