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Finding the Third Proportional to 21,419,089 and 47,089,697

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Solution

The third proportional to 21,419,089 and 47,089,697 is: 103,526,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,419,089 : 47,089,697 = 47,089,697 : x
  2. Step 2: Convert to fraction form
    21,419,089/47,089,697 = 47,089,697/x
  3. Step 3: Cross multiply
    21,419,089x = 47,089,697 × 47,089,697
  4. Step 4: Simplify right side
    21,419,089x = 2,217,439,563,551,809
  5. Step 5: Solve for x
    x = 2,217,439,563,551,809/21,419,089
  6. Step 6: Final answer
    x = 103,526,324.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.