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Finding the Third Proportional to 362,770,380 and 740,767,380

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Solution

The third proportional to 362,770,380 and 740,767,380 is: 1,512,627,109.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,770,380 : 740,767,380 = 740,767,380 : x
  2. Step 2: Convert to fraction form
    362,770,380/740,767,380 = 740,767,380/x
  3. Step 3: Cross multiply
    362,770,380x = 740,767,380 × 740,767,380
  4. Step 4: Simplify right side
    362,770,380x = 548,736,311,272,064,384
  5. Step 5: Solve for x
    x = 548,736,311,272,064,384/362,770,380
  6. Step 6: Final answer
    x = 1,512,627,109.39

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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.