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Finding the Third Proportional to 3,031,945,578,884 and 6,741,790,919,960

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Solution

The third proportional to 3,031,945,578,884 and 6,741,790,919,960 is: 14,990,950,076,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031,945,578,884 : 6,741,790,919,960 = 6,741,790,919,960 : x
  2. Step 2: Convert to fraction form
    3,031,945,578,884/6,741,790,919,960 = 6,741,790,919,960/x
  3. Step 3: Cross multiply
    3,031,945,578,884x = 6,741,790,919,960 × 6,741,790,919,960
  4. Step 4: Simplify right side
    3,031,945,578,884x = 45,451,744,808,455,107,384,442,880
  5. Step 5: Solve for x
    x = 45,451,744,808,455,107,384,442,880/3,031,945,578,884
  6. Step 6: Final answer
    x = 14,990,950,076,744.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.