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Finding the Third Proportional to 6,774,704,180 and 14,106,150,842

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Solution

The third proportional to 6,774,704,180 and 14,106,150,842 is: 29,371,539,522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774,704,180 : 14,106,150,842 = 14,106,150,842 : x
  2. Step 2: Convert to fraction form
    6,774,704,180/14,106,150,842 = 14,106,150,842/x
  3. Step 3: Cross multiply
    6,774,704,180x = 14,106,150,842 × 14,106,150,842
  4. Step 4: Simplify right side
    6,774,704,180x = 198,983,491,577,257,295,872
  5. Step 5: Solve for x
    x = 198,983,491,577,257,295,872/6,774,704,180
  6. Step 6: Final answer
    x = 29,371,539,522.67

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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.