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Finding the Third Proportional to 2,422,967.75 and 5,286,035.25

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Solution

The third proportional to 2,422,967.75 and 5,286,035.25 is: 11,532,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422,967.75 : 5,286,035.25 = 5,286,035.25 : x
  2. Step 2: Convert to fraction form
    2,422,967.75/5,286,035.25 = 5,286,035.25/x
  3. Step 3: Cross multiply
    2,422,967.75x = 5,286,035.25 × 5,286,035.25
  4. Step 4: Simplify right side
    2,422,967.75x = 27,942,168,664,242.56
  5. Step 5: Solve for x
    x = 27,942,168,664,242.56/2,422,967.75
  6. Step 6: Final answer
    x = 11,532,208.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.