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Finding the Third Proportional to 21,419,125 and 47,089,769

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Solution

The third proportional to 21,419,125 and 47,089,769 is: 103,526,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,419,125 : 47,089,769 = 47,089,769 : x
  2. Step 2: Convert to fraction form
    21,419,125/47,089,769 = 47,089,769/x
  3. Step 3: Cross multiply
    21,419,125x = 47,089,769 × 47,089,769
  4. Step 4: Simplify right side
    21,419,125x = 2,217,446,344,473,361
  5. Step 5: Solve for x
    x = 2,217,446,344,473,361/21,419,125
  6. Step 6: Final answer
    x = 103,526,467.33

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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.