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Finding the Third Proportional to 4,420,206,308,248 and 9,618,756,188,378

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Solution

The third proportional to 4,420,206,308,248 and 9,618,756,188,378 is: 20,931,256,181,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,420,206,308,248 : 9,618,756,188,378 = 9,618,756,188,378 : x
  2. Step 2: Convert to fraction form
    4,420,206,308,248/9,618,756,188,378 = 9,618,756,188,378/x
  3. Step 3: Cross multiply
    4,420,206,308,248x = 9,618,756,188,378 × 9,618,756,188,378
  4. Step 4: Simplify right side
    4,420,206,308,248x = 92,520,470,611,460,065,482,244,096
  5. Step 5: Solve for x
    x = 92,520,470,611,460,065,482,244,096/4,420,206,308,248
  6. Step 6: Final answer
    x = 20,931,256,181,146.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.