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Finding the Third Proportional to 3,194,142 and 6,966,339

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Solution

The third proportional to 3,194,142 and 6,966,339 is: 15,193,400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,142 : 6,966,339 = 6,966,339 : x
  2. Step 2: Convert to fraction form
    3,194,142/6,966,339 = 6,966,339/x
  3. Step 3: Cross multiply
    3,194,142x = 6,966,339 × 6,966,339
  4. Step 4: Simplify right side
    3,194,142x = 48,529,879,062,921
  5. Step 5: Solve for x
    x = 48,529,879,062,921/3,194,142
  6. Step 6: Final answer
    x = 15,193,400.63

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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.