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Finding the Third Proportional to 12,775,523,312 and 27,800,658,016

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Solution

The third proportional to 12,775,523,312 and 27,800,658,016 is: 60,496,667,513.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775,523,312 : 27,800,658,016 = 27,800,658,016 : x
  2. Step 2: Convert to fraction form
    12,775,523,312/27,800,658,016 = 27,800,658,016/x
  3. Step 3: Cross multiply
    12,775,523,312x = 27,800,658,016 × 27,800,658,016
  4. Step 4: Simplify right side
    12,775,523,312x = 772,876,586,122,585,047,040
  5. Step 5: Solve for x
    x = 772,876,586,122,585,047,040/12,775,523,312
  6. Step 6: Final answer
    x = 60,496,667,513.93

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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.