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Finding the Third Proportional to 2,372,311,176 and 4,940,974,452

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Solution

The third proportional to 2,372,311,176 and 4,940,974,452 is: 10,290,904,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372,311,176 : 4,940,974,452 = 4,940,974,452 : x
  2. Step 2: Convert to fraction form
    2,372,311,176/4,940,974,452 = 4,940,974,452/x
  3. Step 3: Cross multiply
    2,372,311,176x = 4,940,974,452 × 4,940,974,452
  4. Step 4: Simplify right side
    2,372,311,176x = 24,413,228,535,316,701,184
  5. Step 5: Solve for x
    x = 24,413,228,535,316,701,184/2,372,311,176
  6. Step 6: Final answer
    x = 10,290,904,828.30

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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.