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Finding the Third Proportional to 757,986,399,900 and 1,685,447,740,152

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Solution

The third proportional to 757,986,399,900 and 1,685,447,740,152 is: 3,747,737,538,771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,986,399,900 : 1,685,447,740,152 = 1,685,447,740,152 : x
  2. Step 2: Convert to fraction form
    757,986,399,900/1,685,447,740,152 = 1,685,447,740,152/x
  3. Step 3: Cross multiply
    757,986,399,900x = 1,685,447,740,152 × 1,685,447,740,152
  4. Step 4: Simplify right side
    757,986,399,900x = 2,840,734,084,783,483,624,882,176
  5. Step 5: Solve for x
    x = 2,840,734,084,783,483,624,882,176/757,986,399,900
  6. Step 6: Final answer
    x = 3,747,737,538,771.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.