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Finding the Third Proportional to 4,787,676 and 10,247,976

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Solution

The third proportional to 4,787,676 and 10,247,976 is: 21,935,697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787,676 : 10,247,976 = 10,247,976 : x
  2. Step 2: Convert to fraction form
    4,787,676/10,247,976 = 10,247,976/x
  3. Step 3: Cross multiply
    4,787,676x = 10,247,976 × 10,247,976
  4. Step 4: Simplify right side
    4,787,676x = 105,021,012,096,576
  5. Step 5: Solve for x
    x = 105,021,012,096,576/4,787,676
  6. Step 6: Final answer
    x = 21,935,697.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.