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Finding the Third Proportional to 11,431,288 and 24,434,696

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Solution

The third proportional to 11,431,288 and 24,434,696 is: 52,229,842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431,288 : 24,434,696 = 24,434,696 : x
  2. Step 2: Convert to fraction form
    11,431,288/24,434,696 = 24,434,696/x
  3. Step 3: Cross multiply
    11,431,288x = 24,434,696 × 24,434,696
  4. Step 4: Simplify right side
    11,431,288x = 597,054,368,612,416
  5. Step 5: Solve for x
    x = 597,054,368,612,416/11,431,288
  6. Step 6: Final answer
    x = 52,229,842.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.