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Finding the Third Proportional to 3,035,821.50 and 6,576,096

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Solution

The third proportional to 3,035,821.50 and 6,576,096 is: 14,244,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035,821.50 : 6,576,096 = 6,576,096 : x
  2. Step 2: Convert to fraction form
    3,035,821.50/6,576,096 = 6,576,096/x
  3. Step 3: Cross multiply
    3,035,821.50x = 6,576,096 × 6,576,096
  4. Step 4: Simplify right side
    3,035,821.50x = 43,245,038,601,216
  5. Step 5: Solve for x
    x = 43,245,038,601,216/3,035,821.50
  6. Step 6: Final answer
    x = 14,244,921.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.