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Finding the Third Proportional to 17,353,428,106.50 and 24,437,450,763

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Solution

The third proportional to 17,353,428,106.50 and 24,437,450,763 is: 34,413,315,693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,353,428,106.50 : 24,437,450,763 = 24,437,450,763 : x
  2. Step 2: Convert to fraction form
    17,353,428,106.50/24,437,450,763 = 24,437,450,763/x
  3. Step 3: Cross multiply
    17,353,428,106.50x = 24,437,450,763 × 24,437,450,763
  4. Step 4: Simplify right side
    17,353,428,106.50x = 597,188,999,794,049,286,144
  5. Step 5: Solve for x
    x = 597,188,999,794,049,286,144/17,353,428,106.50
  6. Step 6: Final answer
    x = 34,413,315,693.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.