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Finding the Third Proportional to 4,199,661,690.50 and 8,998,347,772

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Solution

The third proportional to 4,199,661,690.50 and 8,998,347,772 is: 19,280,186,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199,661,690.50 : 8,998,347,772 = 8,998,347,772 : x
  2. Step 2: Convert to fraction form
    4,199,661,690.50/8,998,347,772 = 8,998,347,772/x
  3. Step 3: Cross multiply
    4,199,661,690.50x = 8,998,347,772 × 8,998,347,772
  4. Step 4: Simplify right side
    4,199,661,690.50x = 80,970,262,625,857,372,160
  5. Step 5: Solve for x
    x = 80,970,262,625,857,372,160/4,199,661,690.50
  6. Step 6: Final answer
    x = 19,280,186,975.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.