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Finding the Third Proportional to 12,322,504 and 27,478,364

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Solution

The third proportional to 12,322,504 and 27,478,364 is: 61,274,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322,504 : 27,478,364 = 27,478,364 : x
  2. Step 2: Convert to fraction form
    12,322,504/27,478,364 = 27,478,364/x
  3. Step 3: Cross multiply
    12,322,504x = 27,478,364 × 27,478,364
  4. Step 4: Simplify right side
    12,322,504x = 755,060,488,116,496
  5. Step 5: Solve for x
    x = 755,060,488,116,496/12,322,504
  6. Step 6: Final answer
    x = 61,274,923.35

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.