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Finding the Third Proportional to 3,194,143 and 6,966,341

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Solution

The third proportional to 3,194,143 and 6,966,341 is: 15,193,404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,143 : 6,966,341 = 6,966,341 : x
  2. Step 2: Convert to fraction form
    3,194,143/6,966,341 = 6,966,341/x
  3. Step 3: Cross multiply
    3,194,143x = 6,966,341 × 6,966,341
  4. Step 4: Simplify right side
    3,194,143x = 48,529,906,928,281
  5. Step 5: Solve for x
    x = 48,529,906,928,281/3,194,143
  6. Step 6: Final answer
    x = 15,193,404.59

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