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Finding the Third Proportional to 3,214,191 and 6,864,292

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Solution

The third proportional to 3,214,191 and 6,864,292 is: 14,659,522.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214,191 : 6,864,292 = 6,864,292 : x
  2. Step 2: Convert to fraction form
    3,214,191/6,864,292 = 6,864,292/x
  3. Step 3: Cross multiply
    3,214,191x = 6,864,292 × 6,864,292
  4. Step 4: Simplify right side
    3,214,191x = 47,118,504,661,264
  5. Step 5: Solve for x
    x = 47,118,504,661,264/3,214,191
  6. Step 6: Final answer
    x = 14,659,522.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.