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Finding the Third Proportional to 2,223,109,227 and 4,733,743,830

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Solution

The third proportional to 2,223,109,227 and 4,733,743,830 is: 10,079,725,447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223,109,227 : 4,733,743,830 = 4,733,743,830 : x
  2. Step 2: Convert to fraction form
    2,223,109,227/4,733,743,830 = 4,733,743,830/x
  3. Step 3: Cross multiply
    2,223,109,227x = 4,733,743,830 × 4,733,743,830
  4. Step 4: Simplify right side
    2,223,109,227x = 22,408,330,648,063,070,208
  5. Step 5: Solve for x
    x = 22,408,330,648,063,070,208/2,223,109,227
  6. Step 6: Final answer
    x = 10,079,725,447.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.