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Finding the Third Proportional to 3,030,298 and 6,541,311

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Solution

The third proportional to 3,030,298 and 6,541,311 is: 14,120,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030,298 : 6,541,311 = 6,541,311 : x
  2. Step 2: Convert to fraction form
    3,030,298/6,541,311 = 6,541,311/x
  3. Step 3: Cross multiply
    3,030,298x = 6,541,311 × 6,541,311
  4. Step 4: Simplify right side
    3,030,298x = 42,788,749,598,721
  5. Step 5: Solve for x
    x = 42,788,749,598,721/3,030,298
  6. Step 6: Final answer
    x = 14,120,310.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.