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Finding the Third Proportional to 2,052,425,492 and 4,481,061,384

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Solution

The third proportional to 2,052,425,492 and 4,481,061,384 is: 9,783,503,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052,425,492 : 4,481,061,384 = 4,481,061,384 : x
  2. Step 2: Convert to fraction form
    2,052,425,492/4,481,061,384 = 4,481,061,384/x
  3. Step 3: Cross multiply
    2,052,425,492x = 4,481,061,384 × 4,481,061,384
  4. Step 4: Simplify right side
    2,052,425,492x = 20,079,911,127,175,995,392
  5. Step 5: Solve for x
    x = 20,079,911,127,175,995,392/2,052,425,492
  6. Step 6: Final answer
    x = 9,783,503,082.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.