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Finding the Third Proportional to 5,790,627 and 11,435,922

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Solution

The third proportional to 5,790,627 and 11,435,922 is: 22,584,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790,627 : 11,435,922 = 11,435,922 : x
  2. Step 2: Convert to fraction form
    5,790,627/11,435,922 = 11,435,922/x
  3. Step 3: Cross multiply
    5,790,627x = 11,435,922 × 11,435,922
  4. Step 4: Simplify right side
    5,790,627x = 130,780,311,990,084
  5. Step 5: Solve for x
    x = 130,780,311,990,084/5,790,627
  6. Step 6: Final answer
    x = 22,584,827.51

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.