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Finding the Third Proportional to 7,647,969,112 and 16,458,200,050

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Solution

The third proportional to 7,647,969,112 and 16,458,200,050 is: 35,417,552,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647,969,112 : 16,458,200,050 = 16,458,200,050 : x
  2. Step 2: Convert to fraction form
    7,647,969,112/16,458,200,050 = 16,458,200,050/x
  3. Step 3: Cross multiply
    7,647,969,112x = 16,458,200,050 × 16,458,200,050
  4. Step 4: Simplify right side
    7,647,969,112x = 270,872,348,885,820,014,592
  5. Step 5: Solve for x
    x = 270,872,348,885,820,014,592/7,647,969,112
  6. Step 6: Final answer
    x = 35,417,552,675.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.