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Finding the Third Proportional to 4,969,194 and 10,511,319

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Solution

The third proportional to 4,969,194 and 10,511,319 is: 22,234,556.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969,194 : 10,511,319 = 10,511,319 : x
  2. Step 2: Convert to fraction form
    4,969,194/10,511,319 = 10,511,319/x
  3. Step 3: Cross multiply
    4,969,194x = 10,511,319 × 10,511,319
  4. Step 4: Simplify right side
    4,969,194x = 110,487,827,119,761
  5. Step 5: Solve for x
    x = 110,487,827,119,761/4,969,194
  6. Step 6: Final answer
    x = 22,234,556.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.