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Finding the Third Proportional to 6,827,679.90 and 14,629,234.39

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Solution

The third proportional to 6,827,679.90 and 14,629,234.39 is: 31,345,127.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827,679.90 : 14,629,234.39 = 14,629,234.39 : x
  2. Step 2: Convert to fraction form
    6,827,679.90/14,629,234.39 = 14,629,234.39/x
  3. Step 3: Cross multiply
    6,827,679.90x = 14,629,234.39 × 14,629,234.39
  4. Step 4: Simplify right side
    6,827,679.90x = 214,014,498,970,128.81
  5. Step 5: Solve for x
    x = 214,014,498,970,128.81/6,827,679.90
  6. Step 6: Final answer
    x = 31,345,127.81

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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.