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Finding the Third Proportional to 16,419,403,421 and 35,848,489,984

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Solution

The third proportional to 16,419,403,421 and 35,848,489,984 is: 78,268,022,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419,403,421 : 35,848,489,984 = 35,848,489,984 : x
  2. Step 2: Convert to fraction form
    16,419,403,421/35,848,489,984 = 35,848,489,984/x
  3. Step 3: Cross multiply
    16,419,403,421x = 35,848,489,984 × 35,848,489,984
  4. Step 4: Simplify right side
    16,419,403,421x = 1,285,114,234,132,948,320,256
  5. Step 5: Solve for x
    x = 1,285,114,234,132,948,320,256/16,419,403,421
  6. Step 6: Final answer
    x = 78,268,022,362.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.