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Finding the Third Proportional to 9,284,826 and 20,363,265

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Solution

The third proportional to 9,284,826 and 20,363,265 is: 44,660,240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284,826 : 20,363,265 = 20,363,265 : x
  2. Step 2: Convert to fraction form
    9,284,826/20,363,265 = 20,363,265/x
  3. Step 3: Cross multiply
    9,284,826x = 20,363,265 × 20,363,265
  4. Step 4: Simplify right side
    9,284,826x = 414,662,561,460,225
  5. Step 5: Solve for x
    x = 414,662,561,460,225/9,284,826
  6. Step 6: Final answer
    x = 44,660,240.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.