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Finding the Third Proportional to 2,763,100,208 and 4,511,416,320

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Solution

The third proportional to 2,763,100,208 and 4,511,416,320 is: 7,365,956,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763,100,208 : 4,511,416,320 = 4,511,416,320 : x
  2. Step 2: Convert to fraction form
    2,763,100,208/4,511,416,320 = 4,511,416,320/x
  3. Step 3: Cross multiply
    2,763,100,208x = 4,511,416,320 × 4,511,416,320
  4. Step 4: Simplify right side
    2,763,100,208x = 20,352,877,212,362,342,400
  5. Step 5: Solve for x
    x = 20,352,877,212,362,342,400/2,763,100,208
  6. Step 6: Final answer
    x = 7,365,956,961.47

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.