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Finding the Third Proportional to 1,213,028,961 and 1,733,449,996.50

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Solution

The third proportional to 1,213,028,961 and 1,733,449,996.50 is: 2,477,145,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,028,961 : 1,733,449,996.50 = 1,733,449,996.50 : x
  2. Step 2: Convert to fraction form
    1,213,028,961/1,733,449,996.50 = 1,733,449,996.50/x
  3. Step 3: Cross multiply
    1,213,028,961x = 1,733,449,996.50 × 1,733,449,996.50
  4. Step 4: Simplify right side
    1,213,028,961x = 3,004,848,890,365,850,112
  5. Step 5: Solve for x
    x = 3,004,848,890,365,850,112/1,213,028,961
  6. Step 6: Final answer
    x = 2,477,145,218.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.