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Finding the Third Proportional to 4,787,811 and 10,239,174

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Solution

The third proportional to 4,787,811 and 10,239,174 is: 21,897,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787,811 : 10,239,174 = 10,239,174 : x
  2. Step 2: Convert to fraction form
    4,787,811/10,239,174 = 10,239,174/x
  3. Step 3: Cross multiply
    4,787,811x = 10,239,174 × 10,239,174
  4. Step 4: Simplify right side
    4,787,811x = 104,840,684,202,276
  5. Step 5: Solve for x
    x = 104,840,684,202,276/4,787,811
  6. Step 6: Final answer
    x = 21,897,414.96

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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.