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Finding the Third Proportional to 6,277,129 and 13,307,639

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Solution

The third proportional to 6,277,129 and 13,307,639 is: 28,212,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277,129 : 13,307,639 = 13,307,639 : x
  2. Step 2: Convert to fraction form
    6,277,129/13,307,639 = 13,307,639/x
  3. Step 3: Cross multiply
    6,277,129x = 13,307,639 × 13,307,639
  4. Step 4: Simplify right side
    6,277,129x = 177,093,255,754,321
  5. Step 5: Solve for x
    x = 177,093,255,754,321/6,277,129
  6. Step 6: Final answer
    x = 28,212,460.78

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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.