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Finding the Third Proportional to 3,212,666 and 6,691,684

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Solution

The third proportional to 3,212,666 and 6,691,684 is: 13,938,154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,666 : 6,691,684 = 6,691,684 : x
  2. Step 2: Convert to fraction form
    3,212,666/6,691,684 = 6,691,684/x
  3. Step 3: Cross multiply
    3,212,666x = 6,691,684 × 6,691,684
  4. Step 4: Simplify right side
    3,212,666x = 44,778,634,755,856
  5. Step 5: Solve for x
    x = 44,778,634,755,856/3,212,666
  6. Step 6: Final answer
    x = 13,938,154.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.