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Finding the Third Proportional to 12,775,523,734 and 27,800,658,848

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Solution

The third proportional to 12,775,523,734 and 27,800,658,848 is: 60,496,669,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775,523,734 : 27,800,658,848 = 27,800,658,848 : x
  2. Step 2: Convert to fraction form
    12,775,523,734/27,800,658,848 = 27,800,658,848/x
  3. Step 3: Cross multiply
    12,775,523,734x = 27,800,658,848 × 27,800,658,848
  4. Step 4: Simplify right side
    12,775,523,734x = 772,876,632,382,880,743,424
  5. Step 5: Solve for x
    x = 772,876,632,382,880,743,424/12,775,523,734
  6. Step 6: Final answer
    x = 60,496,669,136.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.