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Finding the Third Proportional to 957,861,617.25 and 2,065,235,301.75

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Solution

The third proportional to 957,861,617.25 and 2,065,235,301.75 is: 4,452,831,990.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,861,617.25 : 2,065,235,301.75 = 2,065,235,301.75 : x
  2. Step 2: Convert to fraction form
    957,861,617.25/2,065,235,301.75 = 2,065,235,301.75/x
  3. Step 3: Cross multiply
    957,861,617.25x = 2,065,235,301.75 × 2,065,235,301.75
  4. Step 4: Simplify right side
    957,861,617.25x = 4,265,196,851,594,413,568
  5. Step 5: Solve for x
    x = 4,265,196,851,594,413,568/957,861,617.25
  6. Step 6: Final answer
    x = 4,452,831,990.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.