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Finding the Third Proportional to 49,775,309,589 and 72,773,243,169

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Solution

The third proportional to 49,775,309,589 and 72,773,243,169 is: 106,397,026,257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,775,309,589 : 72,773,243,169 = 72,773,243,169 : x
  2. Step 2: Convert to fraction form
    49,775,309,589/72,773,243,169 = 72,773,243,169/x
  3. Step 3: Cross multiply
    49,775,309,589x = 72,773,243,169 × 72,773,243,169
  4. Step 4: Simplify right side
    49,775,309,589x = 5,295,944,921,334,404,874,240
  5. Step 5: Solve for x
    x = 5,295,944,921,334,404,874,240/49,775,309,589
  6. Step 6: Final answer
    x = 106,397,026,257.87

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.