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Finding the Third Proportional to 81,653,401,840 and 128,089,977,918

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Solution

The third proportional to 81,653,401,840 and 128,089,977,918 is: 200,935,197,717.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,653,401,840 : 128,089,977,918 = 128,089,977,918 : x
  2. Step 2: Convert to fraction form
    81,653,401,840/128,089,977,918 = 128,089,977,918/x
  3. Step 3: Cross multiply
    81,653,401,840x = 128,089,977,918 × 128,089,977,918
  4. Step 4: Simplify right side
    81,653,401,840x = 16,407,042,443,033,727,467,520
  5. Step 5: Solve for x
    x = 16,407,042,443,033,727,467,520/81,653,401,840
  6. Step 6: Final answer
    x = 200,935,197,717.58

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Why These Related Problems?

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