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Finding the Third Proportional to 11,319,288 and 24,431,144

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Solution

The third proportional to 11,319,288 and 24,431,144 is: 52,731,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,319,288 : 24,431,144 = 24,431,144 : x
  2. Step 2: Convert to fraction form
    11,319,288/24,431,144 = 24,431,144/x
  3. Step 3: Cross multiply
    11,319,288x = 24,431,144 × 24,431,144
  4. Step 4: Simplify right side
    11,319,288x = 596,880,797,148,736
  5. Step 5: Solve for x
    x = 596,880,797,148,736/11,319,288
  6. Step 6: Final answer
    x = 52,731,302.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.