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Finding the Third Proportional to 4,193,091 and 9,171,324

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Solution

The third proportional to 4,193,091 and 9,171,324 is: 20,059,947.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193,091 : 9,171,324 = 9,171,324 : x
  2. Step 2: Convert to fraction form
    4,193,091/9,171,324 = 9,171,324/x
  3. Step 3: Cross multiply
    4,193,091x = 9,171,324 × 9,171,324
  4. Step 4: Simplify right side
    4,193,091x = 84,113,183,912,976
  5. Step 5: Solve for x
    x = 84,113,183,912,976/4,193,091
  6. Step 6: Final answer
    x = 20,059,947.16

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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.