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Finding the Third Proportional to 6,781,305 and 10,171,971

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Solution

The third proportional to 6,781,305 and 10,171,971 is: 15,257,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781,305 : 10,171,971 = 10,171,971 : x
  2. Step 2: Convert to fraction form
    6,781,305/10,171,971 = 10,171,971/x
  3. Step 3: Cross multiply
    6,781,305x = 10,171,971 × 10,171,971
  4. Step 4: Simplify right side
    6,781,305x = 103,468,994,024,841
  5. Step 5: Solve for x
    x = 103,468,994,024,841/6,781,305
  6. Step 6: Final answer
    x = 15,257,976.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.