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Finding the Third Proportional to 49,674,861,828 and 108,340,350,860

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Solution

The third proportional to 49,674,861,828 and 108,340,350,860 is: 236,289,165,033.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,674,861,828 : 108,340,350,860 = 108,340,350,860 : x
  2. Step 2: Convert to fraction form
    49,674,861,828/108,340,350,860 = 108,340,350,860/x
  3. Step 3: Cross multiply
    49,674,861,828x = 108,340,350,860 × 108,340,350,860
  4. Step 4: Simplify right side
    49,674,861,828x = 11,737,631,624,467,901,841,408
  5. Step 5: Solve for x
    x = 11,737,631,624,467,901,841,408/49,674,861,828
  6. Step 6: Final answer
    x = 236,289,165,033.00

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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.