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Finding the Third Proportional to 5,307,741 and 11,609,009

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Solution

The third proportional to 5,307,741 and 11,609,009 is: 25,391,044.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307,741 : 11,609,009 = 11,609,009 : x
  2. Step 2: Convert to fraction form
    5,307,741/11,609,009 = 11,609,009/x
  3. Step 3: Cross multiply
    5,307,741x = 11,609,009 × 11,609,009
  4. Step 4: Simplify right side
    5,307,741x = 134,769,089,962,081
  5. Step 5: Solve for x
    x = 134,769,089,962,081/5,307,741
  6. Step 6: Final answer
    x = 25,391,044.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.