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Finding the Third Proportional to 3,511,798,260 and 4,783,284,180

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Solution

The third proportional to 3,511,798,260 and 4,783,284,180 is: 6,515,125,828.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511,798,260 : 4,783,284,180 = 4,783,284,180 : x
  2. Step 2: Convert to fraction form
    3,511,798,260/4,783,284,180 = 4,783,284,180/x
  3. Step 3: Cross multiply
    3,511,798,260x = 4,783,284,180 × 4,783,284,180
  4. Step 4: Simplify right side
    3,511,798,260x = 22,879,807,546,638,270,464
  5. Step 5: Solve for x
    x = 22,879,807,546,638,270,464/3,511,798,260
  6. Step 6: Final answer
    x = 6,515,125,828.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.