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Finding the Third Proportional to 5,384,689,992 and 8,271,543,122

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Solution

The third proportional to 5,384,689,992 and 8,271,543,122 is: 12,706,102,992.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384,689,992 : 8,271,543,122 = 8,271,543,122 : x
  2. Step 2: Convert to fraction form
    5,384,689,992/8,271,543,122 = 8,271,543,122/x
  3. Step 3: Cross multiply
    5,384,689,992x = 8,271,543,122 × 8,271,543,122
  4. Step 4: Simplify right side
    5,384,689,992x = 68,418,425,619,105,505,280
  5. Step 5: Solve for x
    x = 68,418,425,619,105,505,280/5,384,689,992
  6. Step 6: Final answer
    x = 12,706,102,992.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.