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Finding the Third Proportional to 11,089,657.50 and 24,269,721

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Solution

The third proportional to 11,089,657.50 and 24,269,721 is: 53,114,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,089,657.50 : 24,269,721 = 24,269,721 : x
  2. Step 2: Convert to fraction form
    11,089,657.50/24,269,721 = 24,269,721/x
  3. Step 3: Cross multiply
    11,089,657.50x = 24,269,721 × 24,269,721
  4. Step 4: Simplify right side
    11,089,657.50x = 589,019,357,417,841
  5. Step 5: Solve for x
    x = 589,019,357,417,841/11,089,657.50
  6. Step 6: Final answer
    x = 53,114,296.58

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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.