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Finding the Third Proportional to 21,419,121 and 47,089,758

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Solution

The third proportional to 21,419,121 and 47,089,758 is: 103,526,438.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,419,121 : 47,089,758 = 47,089,758 : x
  2. Step 2: Convert to fraction form
    21,419,121/47,089,758 = 47,089,758/x
  3. Step 3: Cross multiply
    21,419,121x = 47,089,758 × 47,089,758
  4. Step 4: Simplify right side
    21,419,121x = 2,217,445,308,498,564
  5. Step 5: Solve for x
    x = 2,217,445,308,498,564/21,419,121
  6. Step 6: Final answer
    x = 103,526,438.29

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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.