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Finding the Third Proportional to 6,168,960 and 13,659,264

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Solution

The third proportional to 6,168,960 and 13,659,264 is: 30,244,237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168,960 : 13,659,264 = 13,659,264 : x
  2. Step 2: Convert to fraction form
    6,168,960/13,659,264 = 13,659,264/x
  3. Step 3: Cross multiply
    6,168,960x = 13,659,264 × 13,659,264
  4. Step 4: Simplify right side
    6,168,960x = 186,575,493,021,696
  5. Step 5: Solve for x
    x = 186,575,493,021,696/6,168,960
  6. Step 6: Final answer
    x = 30,244,237.77

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.