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Finding the Third Proportional to 5,148,771 and 11,094,912

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Solution

The third proportional to 5,148,771 and 11,094,912 is: 23,908,049.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148,771 : 11,094,912 = 11,094,912 : x
  2. Step 2: Convert to fraction form
    5,148,771/11,094,912 = 11,094,912/x
  3. Step 3: Cross multiply
    5,148,771x = 11,094,912 × 11,094,912
  4. Step 4: Simplify right side
    5,148,771x = 123,097,072,287,744
  5. Step 5: Solve for x
    x = 123,097,072,287,744/5,148,771
  6. Step 6: Final answer
    x = 23,908,049.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.