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Finding the Third Proportional to 21,419,098 and 47,089,714

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Solution

The third proportional to 21,419,098 and 47,089,714 is: 103,526,355.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,419,098 : 47,089,714 = 47,089,714 : x
  2. Step 2: Convert to fraction form
    21,419,098/47,089,714 = 47,089,714/x
  3. Step 3: Cross multiply
    21,419,098x = 47,089,714 × 47,089,714
  4. Step 4: Simplify right side
    21,419,098x = 2,217,441,164,601,796
  5. Step 5: Solve for x
    x = 2,217,441,164,601,796/21,419,098
  6. Step 6: Final answer
    x = 103,526,355.99

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