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Finding the Third Proportional to 848,492,322.25 and 1,826,660,689.75

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Solution

The third proportional to 848,492,322.25 and 1,826,660,689.75 is: 3,932,492,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,492,322.25 : 1,826,660,689.75 = 1,826,660,689.75 : x
  2. Step 2: Convert to fraction form
    848,492,322.25/1,826,660,689.75 = 1,826,660,689.75/x
  3. Step 3: Cross multiply
    848,492,322.25x = 1,826,660,689.75 × 1,826,660,689.75
  4. Step 4: Simplify right side
    848,492,322.25x = 3,336,689,275,477,945,856
  5. Step 5: Solve for x
    x = 3,336,689,275,477,945,856/848,492,322.25
  6. Step 6: Final answer
    x = 3,932,492,007.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.