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Finding the Third Proportional to 5,384,690,009.44 and 8,271,543,149.16

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Solution

The third proportional to 5,384,690,009.44 and 8,271,543,149.16 is: 12,706,103,034.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384,690,009.44 : 8,271,543,149.16 = 8,271,543,149.16 : x
  2. Step 2: Convert to fraction form
    5,384,690,009.44/8,271,543,149.16 = 8,271,543,149.16/x
  3. Step 3: Cross multiply
    5,384,690,009.44x = 8,271,543,149.16 × 8,271,543,149.16
  4. Step 4: Simplify right side
    5,384,690,009.44x = 68,418,426,068,352,876,544
  5. Step 5: Solve for x
    x = 68,418,426,068,352,876,544/5,384,690,009.44
  6. Step 6: Final answer
    x = 12,706,103,034.43

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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.