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Finding the Third Proportional to 7,947,099 and 17,164,662.75

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Solution

The third proportional to 7,947,099 and 17,164,662.75 is: 37,073,358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947,099 : 17,164,662.75 = 17,164,662.75 : x
  2. Step 2: Convert to fraction form
    7,947,099/17,164,662.75 = 17,164,662.75/x
  3. Step 3: Cross multiply
    7,947,099x = 17,164,662.75 × 17,164,662.75
  4. Step 4: Simplify right side
    7,947,099x = 294,625,647,321,237.56
  5. Step 5: Solve for x
    x = 294,625,647,321,237.56/7,947,099
  6. Step 6: Final answer
    x = 37,073,358.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.