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Finding the Third Proportional to 6,827,462 and 14,666,992

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Solution

The third proportional to 6,827,462 and 14,666,992 is: 31,508,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827,462 : 14,666,992 = 14,666,992 : x
  2. Step 2: Convert to fraction form
    6,827,462/14,666,992 = 14,666,992/x
  3. Step 3: Cross multiply
    6,827,462x = 14,666,992 × 14,666,992
  4. Step 4: Simplify right side
    6,827,462x = 215,120,654,328,064
  5. Step 5: Solve for x
    x = 215,120,654,328,064/6,827,462
  6. Step 6: Final answer
    x = 31,508,143.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.