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Finding the Third Proportional to 11,198,310.75 and 22,869,013.50

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Solution

The third proportional to 11,198,310.75 and 22,869,013.50 is: 46,702,738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198,310.75 : 22,869,013.50 = 22,869,013.50 : x
  2. Step 2: Convert to fraction form
    11,198,310.75/22,869,013.50 = 22,869,013.50/x
  3. Step 3: Cross multiply
    11,198,310.75x = 22,869,013.50 × 22,869,013.50
  4. Step 4: Simplify right side
    11,198,310.75x = 522,991,778,463,182.25
  5. Step 5: Solve for x
    x = 522,991,778,463,182.25/11,198,310.75
  6. Step 6: Final answer
    x = 46,702,738.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.