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Finding the Third Proportional to 309,949,416,189 and 481,242,892,325.62

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Solution

The third proportional to 309,949,416,189 and 481,242,892,325.62 is: 747,201,670,070.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,949,416,189 : 481,242,892,325.62 = 481,242,892,325.62 : x
  2. Step 2: Convert to fraction form
    309,949,416,189/481,242,892,325.62 = 481,242,892,325.62/x
  3. Step 3: Cross multiply
    309,949,416,189x = 481,242,892,325.62 × 481,242,892,325.62
  4. Step 4: Simplify right side
    309,949,416,189x = 231,594,721,413,928,287,469,568
  5. Step 5: Solve for x
    x = 231,594,721,413,928,287,469,568/309,949,416,189
  6. Step 6: Final answer
    x = 747,201,670,070.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.