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Finding the Third Proportional to 1,494,634,954 and 3,211,078,532

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Solution

The third proportional to 1,494,634,954 and 3,211,078,532 is: 6,898,691,423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494,634,954 : 3,211,078,532 = 3,211,078,532 : x
  2. Step 2: Convert to fraction form
    1,494,634,954/3,211,078,532 = 3,211,078,532/x
  3. Step 3: Cross multiply
    1,494,634,954x = 3,211,078,532 × 3,211,078,532
  4. Step 4: Simplify right side
    1,494,634,954x = 10,311,025,338,671,276,032
  5. Step 5: Solve for x
    x = 10,311,025,338,671,276,032/1,494,634,954
  6. Step 6: Final answer
    x = 6,898,691,423.67

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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.