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Finding the Third Proportional to 11,416,851 and 23,954,715

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Solution

The third proportional to 11,416,851 and 23,954,715 is: 50,261,527.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416,851 : 23,954,715 = 23,954,715 : x
  2. Step 2: Convert to fraction form
    11,416,851/23,954,715 = 23,954,715/x
  3. Step 3: Cross multiply
    11,416,851x = 23,954,715 × 23,954,715
  4. Step 4: Simplify right side
    11,416,851x = 573,828,370,731,225
  5. Step 5: Solve for x
    x = 573,828,370,731,225/11,416,851
  6. Step 6: Final answer
    x = 50,261,527.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.