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Finding the Third Proportional to 39,141,119 and 83,321,086

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Solution

The third proportional to 39,141,119 and 83,321,086 is: 177,368,546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,141,119 : 83,321,086 = 83,321,086 : x
  2. Step 2: Convert to fraction form
    39,141,119/83,321,086 = 83,321,086/x
  3. Step 3: Cross multiply
    39,141,119x = 83,321,086 × 83,321,086
  4. Step 4: Simplify right side
    39,141,119x = 6,942,403,372,219,396
  5. Step 5: Solve for x
    x = 6,942,403,372,219,396/39,141,119
  6. Step 6: Final answer
    x = 177,368,546.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.