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Finding the Third Proportional to 12,775,523,772 and 27,800,658,916

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Solution

The third proportional to 12,775,523,772 and 27,800,658,916 is: 60,496,669,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775,523,772 : 27,800,658,916 = 27,800,658,916 : x
  2. Step 2: Convert to fraction form
    12,775,523,772/27,800,658,916 = 27,800,658,916/x
  3. Step 3: Cross multiply
    12,775,523,772x = 27,800,658,916 × 27,800,658,916
  4. Step 4: Simplify right side
    12,775,523,772x = 772,876,636,163,770,286,080
  5. Step 5: Solve for x
    x = 772,876,636,163,770,286,080/12,775,523,772
  6. Step 6: Final answer
    x = 60,496,669,252.63

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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.