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Finding the Third Proportional to 3,148,343 and 6,675,025

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Solution

The third proportional to 3,148,343 and 6,675,025 is: 14,152,193.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148,343 : 6,675,025 = 6,675,025 : x
  2. Step 2: Convert to fraction form
    3,148,343/6,675,025 = 6,675,025/x
  3. Step 3: Cross multiply
    3,148,343x = 6,675,025 × 6,675,025
  4. Step 4: Simplify right side
    3,148,343x = 44,555,958,750,625
  5. Step 5: Solve for x
    x = 44,555,958,750,625/3,148,343
  6. Step 6: Final answer
    x = 14,152,193.31

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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.