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Finding the Third Proportional to 16,986,304,296 and 25,479,458,632.50

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Solution

The third proportional to 16,986,304,296 and 25,479,458,632.50 is: 38,219,191,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,986,304,296 : 25,479,458,632.50 = 25,479,458,632.50 : x
  2. Step 2: Convert to fraction form
    16,986,304,296/25,479,458,632.50 = 25,479,458,632.50/x
  3. Step 3: Cross multiply
    16,986,304,296x = 25,479,458,632.50 × 25,479,458,632.50
  4. Step 4: Simplify right side
    16,986,304,296x = 649,202,812,205,278,822,400
  5. Step 5: Solve for x
    x = 649,202,812,205,278,822,400/16,986,304,296
  6. Step 6: Final answer
    x = 38,219,191,231.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.