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Finding the Third Proportional to 1,494,634,900 and 3,211,078,431

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Solution

The third proportional to 1,494,634,900 and 3,211,078,431 is: 6,898,691,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494,634,900 : 3,211,078,431 = 3,211,078,431 : x
  2. Step 2: Convert to fraction form
    1,494,634,900/3,211,078,431 = 3,211,078,431/x
  3. Step 3: Cross multiply
    1,494,634,900x = 3,211,078,431 × 3,211,078,431
  4. Step 4: Simplify right side
    1,494,634,900x = 10,311,024,690,033,422,336
  5. Step 5: Solve for x
    x = 10,311,024,690,033,422,336/1,494,634,900
  6. Step 6: Final answer
    x = 6,898,691,238.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.