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Finding the Third Proportional to 1,843,062,498 and 4,061,799,834

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Solution

The third proportional to 1,843,062,498 and 4,061,799,834 is: 8,951,523,841.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,062,498 : 4,061,799,834 = 4,061,799,834 : x
  2. Step 2: Convert to fraction form
    1,843,062,498/4,061,799,834 = 4,061,799,834/x
  3. Step 3: Cross multiply
    1,843,062,498x = 4,061,799,834 × 4,061,799,834
  4. Step 4: Simplify right side
    1,843,062,498x = 16,498,217,891,482,427,392
  5. Step 5: Solve for x
    x = 16,498,217,891,482,427,392/1,843,062,498
  6. Step 6: Final answer
    x = 8,951,523,841.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.