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Finding the Third Proportional to 21,419,097 and 47,089,713

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Solution

The third proportional to 21,419,097 and 47,089,713 is: 103,526,356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,419,097 : 47,089,713 = 47,089,713 : x
  2. Step 2: Convert to fraction form
    21,419,097/47,089,713 = 47,089,713/x
  3. Step 3: Cross multiply
    21,419,097x = 47,089,713 × 47,089,713
  4. Step 4: Simplify right side
    21,419,097x = 2,217,441,070,422,369
  5. Step 5: Solve for x
    x = 2,217,441,070,422,369/21,419,097
  6. Step 6: Final answer
    x = 103,526,356.43

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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.