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Finding the Third Proportional to 3,093,763,180 and 4,906,900,360

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Solution

The third proportional to 3,093,763,180 and 4,906,900,360 is: 7,782,648,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093,763,180 : 4,906,900,360 = 4,906,900,360 : x
  2. Step 2: Convert to fraction form
    3,093,763,180/4,906,900,360 = 4,906,900,360/x
  3. Step 3: Cross multiply
    3,093,763,180x = 4,906,900,360 × 4,906,900,360
  4. Step 4: Simplify right side
    3,093,763,180x = 24,077,671,142,968,131,584
  5. Step 5: Solve for x
    x = 24,077,671,142,968,131,584/3,093,763,180
  6. Step 6: Final answer
    x = 7,782,648,425.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.