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Finding the Third Proportional to 5,140,915 and 11,085,219

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Solution

The third proportional to 5,140,915 and 11,085,219 is: 23,902,764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140,915 : 11,085,219 = 11,085,219 : x
  2. Step 2: Convert to fraction form
    5,140,915/11,085,219 = 11,085,219/x
  3. Step 3: Cross multiply
    5,140,915x = 11,085,219 × 11,085,219
  4. Step 4: Simplify right side
    5,140,915x = 122,882,080,277,961
  5. Step 5: Solve for x
    x = 122,882,080,277,961/5,140,915
  6. Step 6: Final answer
    x = 23,902,764.45

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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.