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Finding the Third Proportional to 6,414,066 and 13,830,696

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Solution

The third proportional to 6,414,066 and 13,830,696 is: 29,823,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414,066 : 13,830,696 = 13,830,696 : x
  2. Step 2: Convert to fraction form
    6,414,066/13,830,696 = 13,830,696/x
  3. Step 3: Cross multiply
    6,414,066x = 13,830,696 × 13,830,696
  4. Step 4: Simplify right side
    6,414,066x = 191,288,151,844,416
  5. Step 5: Solve for x
    x = 191,288,151,844,416/6,414,066
  6. Step 6: Final answer
    x = 29,823,227.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.