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Finding the Third Proportional to 2,491,329,648 and 3,503,888,460

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Solution

The third proportional to 2,491,329,648 and 3,503,888,460 is: 4,927,984,680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491,329,648 : 3,503,888,460 = 3,503,888,460 : x
  2. Step 2: Convert to fraction form
    2,491,329,648/3,503,888,460 = 3,503,888,460/x
  3. Step 3: Cross multiply
    2,491,329,648x = 3,503,888,460 × 3,503,888,460
  4. Step 4: Simplify right side
    2,491,329,648x = 12,277,234,340,121,171,968
  5. Step 5: Solve for x
    x = 12,277,234,340,121,171,968/2,491,329,648
  6. Step 6: Final answer
    x = 4,927,984,680.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.