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Finding the Third Proportional to 46,419,488,846 and 69,678,364,976

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Solution

The third proportional to 46,419,488,846 and 69,678,364,976 is: 104,591,297,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,419,488,846 : 69,678,364,976 = 69,678,364,976 : x
  2. Step 2: Convert to fraction form
    46,419,488,846/69,678,364,976 = 69,678,364,976/x
  3. Step 3: Cross multiply
    46,419,488,846x = 69,678,364,976 × 69,678,364,976
  4. Step 4: Simplify right side
    46,419,488,846x = 4,855,074,545,728,663,584,768
  5. Step 5: Solve for x
    x = 4,855,074,545,728,663,584,768/46,419,488,846
  6. Step 6: Final answer
    x = 104,591,297,026.90

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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.