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Finding the Third Proportional to 49,060,767,532 and 106,494,626,640

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Solution

The third proportional to 49,060,767,532 and 106,494,626,640 is: 231,164,453,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,060,767,532 : 106,494,626,640 = 106,494,626,640 : x
  2. Step 2: Convert to fraction form
    49,060,767,532/106,494,626,640 = 106,494,626,640/x
  3. Step 3: Cross multiply
    49,060,767,532x = 106,494,626,640 × 106,494,626,640
  4. Step 4: Simplify right side
    49,060,767,532x = 11,341,105,503,192,997,691,392
  5. Step 5: Solve for x
    x = 11,341,105,503,192,997,691,392/49,060,767,532
  6. Step 6: Final answer
    x = 231,164,453,262.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.