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Finding the Third Proportional to 2,876,468,203,044 and 6,259,310,683,436.20

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Solution

The third proportional to 2,876,468,203,044 and 6,259,310,683,436.20 is: 13,620,512,192,805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876,468,203,044 : 6,259,310,683,436.20 = 6,259,310,683,436.20 : x
  2. Step 2: Convert to fraction form
    2,876,468,203,044/6,259,310,683,436.20 = 6,259,310,683,436.20/x
  3. Step 3: Cross multiply
    2,876,468,203,044x = 6,259,310,683,436.20 × 6,259,310,683,436.20
  4. Step 4: Simplify right side
    2,876,468,203,044x = 39,178,970,231,778,551,904,862,208
  5. Step 5: Solve for x
    x = 39,178,970,231,778,551,904,862,208/2,876,468,203,044
  6. Step 6: Final answer
    x = 13,620,512,192,805.65

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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.