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Finding the Third Proportional to 2,876,468,203,089 and 6,259,310,683,534

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Solution

The third proportional to 2,876,468,203,089 and 6,259,310,683,534 is: 13,620,512,193,018.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876,468,203,089 : 6,259,310,683,534 = 6,259,310,683,534 : x
  2. Step 2: Convert to fraction form
    2,876,468,203,089/6,259,310,683,534 = 6,259,310,683,534/x
  3. Step 3: Cross multiply
    2,876,468,203,089x = 6,259,310,683,534 × 6,259,310,683,534
  4. Step 4: Simplify right side
    2,876,468,203,089x = 39,178,970,233,002,866,692,325,376
  5. Step 5: Solve for x
    x = 39,178,970,233,002,866,692,325,376/2,876,468,203,089
  6. Step 6: Final answer
    x = 13,620,512,193,018.20

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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.