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Finding the Third Proportional to 12,409,800 and 27,268,464

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Solution

The third proportional to 12,409,800 and 27,268,464 is: 59,917,897.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409,800 : 27,268,464 = 27,268,464 : x
  2. Step 2: Convert to fraction form
    12,409,800/27,268,464 = 27,268,464/x
  3. Step 3: Cross multiply
    12,409,800x = 27,268,464 × 27,268,464
  4. Step 4: Simplify right side
    12,409,800x = 743,569,128,919,296
  5. Step 5: Solve for x
    x = 743,569,128,919,296/12,409,800
  6. Step 6: Final answer
    x = 59,917,897.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.