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Finding the Third Proportional to 50,547,978,441.80 and 111,205,375,773.51

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Solution

The third proportional to 50,547,978,441.80 and 111,205,375,773.51 is: 244,651,437,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,547,978,441.80 : 111,205,375,773.51 = 111,205,375,773.51 : x
  2. Step 2: Convert to fraction form
    50,547,978,441.80/111,205,375,773.51 = 111,205,375,773.51/x
  3. Step 3: Cross multiply
    50,547,978,441.80x = 111,205,375,773.51 × 111,205,375,773.51
  4. Step 4: Simplify right side
    50,547,978,441.80x = 12,366,635,600,927,562,661,888
  5. Step 5: Solve for x
    x = 12,366,635,600,927,562,661,888/50,547,978,441.80
  6. Step 6: Final answer
    x = 244,651,437,745.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.