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Finding the Third Proportional to 8,138,824,661 and 16,946,494,669

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Solution

The third proportional to 8,138,824,661 and 16,946,494,669 is: 35,285,645,474.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138,824,661 : 16,946,494,669 = 16,946,494,669 : x
  2. Step 2: Convert to fraction form
    8,138,824,661/16,946,494,669 = 16,946,494,669/x
  3. Step 3: Cross multiply
    8,138,824,661x = 16,946,494,669 × 16,946,494,669
  4. Step 4: Simplify right side
    8,138,824,661x = 287,183,681,566,445,404,160
  5. Step 5: Solve for x
    x = 287,183,681,566,445,404,160/8,138,824,661
  6. Step 6: Final answer
    x = 35,285,645,474.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.