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Finding the Third Proportional to 5,384,689,977 and 8,271,543,100.50

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Solution

The third proportional to 5,384,689,977 and 8,271,543,100.50 is: 12,706,102,961.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384,689,977 : 8,271,543,100.50 = 8,271,543,100.50 : x
  2. Step 2: Convert to fraction form
    5,384,689,977/8,271,543,100.50 = 8,271,543,100.50/x
  3. Step 3: Cross multiply
    5,384,689,977x = 8,271,543,100.50 × 8,271,543,100.50
  4. Step 4: Simplify right side
    5,384,689,977x = 68,418,425,263,429,156,864
  5. Step 5: Solve for x
    x = 68,418,425,263,429,156,864/5,384,689,977
  6. Step 6: Final answer
    x = 12,706,102,961.48

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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.