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Finding the Third Proportional to 5,384,690,094 and 8,271,543,276

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Solution

The third proportional to 5,384,690,094 and 8,271,543,276 is: 12,706,103,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384,690,094 : 8,271,543,276 = 8,271,543,276 : x
  2. Step 2: Convert to fraction form
    5,384,690,094/8,271,543,276 = 8,271,543,276/x
  3. Step 3: Cross multiply
    5,384,690,094x = 8,271,543,276 × 8,271,543,276
  4. Step 4: Simplify right side
    5,384,690,094x = 68,418,428,166,740,811,776
  5. Step 5: Solve for x
    x = 68,418,428,166,740,811,776/5,384,690,094
  6. Step 6: Final answer
    x = 12,706,103,224.58

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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.