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Finding the Third Proportional to 81,653,401,836 and 128,089,977,912

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Solution

The third proportional to 81,653,401,836 and 128,089,977,912 is: 200,935,197,708.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,653,401,836 : 128,089,977,912 = 128,089,977,912 : x
  2. Step 2: Convert to fraction form
    81,653,401,836/128,089,977,912 = 128,089,977,912/x
  3. Step 3: Cross multiply
    81,653,401,836x = 128,089,977,912 × 128,089,977,912
  4. Step 4: Simplify right side
    81,653,401,836x = 16,407,042,441,496,647,172,096
  5. Step 5: Solve for x
    x = 16,407,042,441,496,647,172,096/81,653,401,836
  6. Step 6: Final answer
    x = 200,935,197,708.60

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.