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Finding the Third Proportional to 46,419,488,844 and 69,678,364,938

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Solution

The third proportional to 46,419,488,844 and 69,678,364,938 is: 104,591,296,917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,419,488,844 : 69,678,364,938 = 69,678,364,938 : x
  2. Step 2: Convert to fraction form
    46,419,488,844/69,678,364,938 = 69,678,364,938/x
  3. Step 3: Cross multiply
    46,419,488,844x = 69,678,364,938 × 69,678,364,938
  4. Step 4: Simplify right side
    46,419,488,844x = 4,855,074,540,433,107,320,832
  5. Step 5: Solve for x
    x = 4,855,074,540,433,107,320,832/46,419,488,844
  6. Step 6: Final answer
    x = 104,591,296,917.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.