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Finding the Third Proportional to 6,277,102 and 13,307,480

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Solution

The third proportional to 6,277,102 and 13,307,480 is: 28,211,907.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277,102 : 13,307,480 = 13,307,480 : x
  2. Step 2: Convert to fraction form
    6,277,102/13,307,480 = 13,307,480/x
  3. Step 3: Cross multiply
    6,277,102x = 13,307,480 × 13,307,480
  4. Step 4: Simplify right side
    6,277,102x = 177,089,023,950,400
  5. Step 5: Solve for x
    x = 177,089,023,950,400/6,277,102
  6. Step 6: Final answer
    x = 28,211,907.97

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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.