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Finding the Third Proportional to 2,422,972.50 and 5,286,045

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Solution

The third proportional to 2,422,972.50 and 5,286,045 is: 11,532,228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422,972.50 : 5,286,045 = 5,286,045 : x
  2. Step 2: Convert to fraction form
    2,422,972.50/5,286,045 = 5,286,045/x
  3. Step 3: Cross multiply
    2,422,972.50x = 5,286,045 × 5,286,045
  4. Step 4: Simplify right side
    2,422,972.50x = 27,942,271,742,025
  5. Step 5: Solve for x
    x = 27,942,271,742,025/2,422,972.50
  6. Step 6: Final answer
    x = 11,532,228.18

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Why These Related Problems?

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