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Finding the Third Proportional to 4,729,966 and 10,375,583

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Solution

The third proportional to 4,729,966 and 10,375,583 is: 22,759,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729,966 : 10,375,583 = 10,375,583 : x
  2. Step 2: Convert to fraction form
    4,729,966/10,375,583 = 10,375,583/x
  3. Step 3: Cross multiply
    4,729,966x = 10,375,583 × 10,375,583
  4. Step 4: Simplify right side
    4,729,966x = 107,652,722,589,889
  5. Step 5: Solve for x
    x = 107,652,722,589,889/4,729,966
  6. Step 6: Final answer
    x = 22,759,724.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.