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Finding the Third Proportional to 35,741,204 and 78,036,848

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Solution

The third proportional to 35,741,204 and 78,036,848 is: 170,384,569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,741,204 : 78,036,848 = 78,036,848 : x
  2. Step 2: Convert to fraction form
    35,741,204/78,036,848 = 78,036,848/x
  3. Step 3: Cross multiply
    35,741,204x = 78,036,848 × 78,036,848
  4. Step 4: Simplify right side
    35,741,204x = 6,089,749,645,775,104
  5. Step 5: Solve for x
    x = 6,089,749,645,775,104/35,741,204
  6. Step 6: Final answer
    x = 170,384,569.19

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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.