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Finding the Third Proportional to 3,194,133.75 and 6,966,324

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Solution

The third proportional to 3,194,133.75 and 6,966,324 is: 15,193,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,133.75 : 6,966,324 = 6,966,324 : x
  2. Step 2: Convert to fraction form
    3,194,133.75/6,966,324 = 6,966,324/x
  3. Step 3: Cross multiply
    3,194,133.75x = 6,966,324 × 6,966,324
  4. Step 4: Simplify right side
    3,194,133.75x = 48,529,670,072,976
  5. Step 5: Solve for x
    x = 48,529,670,072,976/3,194,133.75
  6. Step 6: Final answer
    x = 15,193,374.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.