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Finding the Third Proportional to 6,199,541,424 and 9,573,373,881

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Solution

The third proportional to 6,199,541,424 and 9,573,373,881 is: 14,783,268,825.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199,541,424 : 9,573,373,881 = 9,573,373,881 : x
  2. Step 2: Convert to fraction form
    6,199,541,424/9,573,373,881 = 9,573,373,881/x
  3. Step 3: Cross multiply
    6,199,541,424x = 9,573,373,881 × 9,573,373,881
  4. Step 4: Simplify right side
    6,199,541,424x = 91,649,487,465,413,001,216
  5. Step 5: Solve for x
    x = 91,649,487,465,413,001,216/6,199,541,424
  6. Step 6: Final answer
    x = 14,783,268,825.44

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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.