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Finding the Third Proportional to 2,876,468,203,091 and 6,259,310,683,538

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Solution

The third proportional to 2,876,468,203,091 and 6,259,310,683,538 is: 13,620,512,193,026.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876,468,203,091 : 6,259,310,683,538 = 6,259,310,683,538 : x
  2. Step 2: Convert to fraction form
    2,876,468,203,091/6,259,310,683,538 = 6,259,310,683,538/x
  3. Step 3: Cross multiply
    2,876,468,203,091x = 6,259,310,683,538 × 6,259,310,683,538
  4. Step 4: Simplify right side
    2,876,468,203,091x = 39,178,970,233,052,946,010,996,736
  5. Step 5: Solve for x
    x = 39,178,970,233,052,946,010,996,736/2,876,468,203,091
  6. Step 6: Final answer
    x = 13,620,512,193,026.14

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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.