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Finding the Third Proportional to 3,783,599,011 and 8,840,194,855

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Solution

The third proportional to 3,783,599,011 and 8,840,194,855 is: 20,654,684,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783,599,011 : 8,840,194,855 = 8,840,194,855 : x
  2. Step 2: Convert to fraction form
    3,783,599,011/8,840,194,855 = 8,840,194,855/x
  3. Step 3: Cross multiply
    3,783,599,011x = 8,840,194,855 × 8,840,194,855
  4. Step 4: Simplify right side
    3,783,599,011x = 78,149,045,074,368,462,848
  5. Step 5: Solve for x
    x = 78,149,045,074,368,462,848/3,783,599,011
  6. Step 6: Final answer
    x = 20,654,684,824.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.