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Finding the Third Proportional to 6,277,126 and 13,307,634

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Solution

The third proportional to 6,277,126 and 13,307,634 is: 28,212,453.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277,126 : 13,307,634 = 13,307,634 : x
  2. Step 2: Convert to fraction form
    6,277,126/13,307,634 = 13,307,634/x
  3. Step 3: Cross multiply
    6,277,126x = 13,307,634 × 13,307,634
  4. Step 4: Simplify right side
    6,277,126x = 177,093,122,677,956
  5. Step 5: Solve for x
    x = 177,093,122,677,956/6,277,126
  6. Step 6: Final answer
    x = 28,212,453.07

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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.