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Finding the Third Proportional to 4,631,410,213.88 and 7,156,296,659.81

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Solution

The third proportional to 4,631,410,213.88 and 7,156,296,659.81 is: 11,057,664,840.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631,410,213.88 : 7,156,296,659.81 = 7,156,296,659.81 : x
  2. Step 2: Convert to fraction form
    4,631,410,213.88/7,156,296,659.81 = 7,156,296,659.81/x
  3. Step 3: Cross multiply
    4,631,410,213.88x = 7,156,296,659.81 × 7,156,296,659.81
  4. Step 4: Simplify right side
    4,631,410,213.88x = 51,212,581,883,243,544,576
  5. Step 5: Solve for x
    x = 51,212,581,883,243,544,576/4,631,410,213.88
  6. Step 6: Final answer
    x = 11,057,664,840.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.