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Finding the Third Proportional to 4,199,666,885 and 8,998,358,208

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Solution

The third proportional to 4,199,666,885 and 8,998,358,208 is: 19,280,207,849.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199,666,885 : 8,998,358,208 = 8,998,358,208 : x
  2. Step 2: Convert to fraction form
    4,199,666,885/8,998,358,208 = 8,998,358,208/x
  3. Step 3: Cross multiply
    4,199,666,885x = 8,998,358,208 × 8,998,358,208
  4. Step 4: Simplify right side
    4,199,666,885x = 80,970,450,439,480,967,168
  5. Step 5: Solve for x
    x = 80,970,450,439,480,967,168/4,199,666,885
  6. Step 6: Final answer
    x = 19,280,207,849.03

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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.