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Finding the Third Proportional to 5,509,296 and 11,903,841

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Solution

The third proportional to 5,509,296 and 11,903,841 is: 25,720,424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509,296 : 11,903,841 = 11,903,841 : x
  2. Step 2: Convert to fraction form
    5,509,296/11,903,841 = 11,903,841/x
  3. Step 3: Cross multiply
    5,509,296x = 11,903,841 × 11,903,841
  4. Step 4: Simplify right side
    5,509,296x = 141,701,430,553,281
  5. Step 5: Solve for x
    x = 141,701,430,553,281/5,509,296
  6. Step 6: Final answer
    x = 25,720,424.27

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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.