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Finding the Third Proportional to 4,286,743,891.50 and 9,230,329,176

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Solution

The third proportional to 4,286,743,891.50 and 9,230,329,176 is: 19,874,986,435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286,743,891.50 : 9,230,329,176 = 9,230,329,176 : x
  2. Step 2: Convert to fraction form
    4,286,743,891.50/9,230,329,176 = 9,230,329,176/x
  3. Step 3: Cross multiply
    4,286,743,891.50x = 9,230,329,176 × 9,230,329,176
  4. Step 4: Simplify right side
    4,286,743,891.50x = 85,198,976,697,316,835,328
  5. Step 5: Solve for x
    x = 85,198,976,697,316,835,328/4,286,743,891.50
  6. Step 6: Final answer
    x = 19,874,986,435.80

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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.