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Finding the Third Proportional to 6,274,737 and 13,302,900

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Solution

The third proportional to 6,274,737 and 13,302,900 is: 28,203,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274,737 : 13,302,900 = 13,302,900 : x
  2. Step 2: Convert to fraction form
    6,274,737/13,302,900 = 13,302,900/x
  3. Step 3: Cross multiply
    6,274,737x = 13,302,900 × 13,302,900
  4. Step 4: Simplify right side
    6,274,737x = 176,967,148,410,000
  5. Step 5: Solve for x
    x = 176,967,148,410,000/6,274,737
  6. Step 6: Final answer
    x = 28,203,118.06

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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.