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Finding the Third Proportional to 6,235,294,923 and 13,568,252,931

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Solution

The third proportional to 6,235,294,923 and 13,568,252,931 is: 29,525,064,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235,294,923 : 13,568,252,931 = 13,568,252,931 : x
  2. Step 2: Convert to fraction form
    6,235,294,923/13,568,252,931 = 13,568,252,931/x
  3. Step 3: Cross multiply
    6,235,294,923x = 13,568,252,931 × 13,568,252,931
  4. Step 4: Simplify right side
    6,235,294,923x = 184,097,487,599,590,080,512
  5. Step 5: Solve for x
    x = 184,097,487,599,590,080,512/6,235,294,923
  6. Step 6: Final answer
    x = 29,525,064,952.50

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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.