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Finding the Third Proportional to 49,942,569,235 and 72,158,388,019

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Solution

The third proportional to 49,942,569,235 and 72,158,388,019 is: 104,256,409,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,942,569,235 : 72,158,388,019 = 72,158,388,019 : x
  2. Step 2: Convert to fraction form
    49,942,569,235/72,158,388,019 = 72,158,388,019/x
  3. Step 3: Cross multiply
    49,942,569,235x = 72,158,388,019 × 72,158,388,019
  4. Step 4: Simplify right side
    49,942,569,235x = 5,206,832,961,500,562,325,504
  5. Step 5: Solve for x
    x = 5,206,832,961,500,562,325,504/49,942,569,235
  6. Step 6: Final answer
    x = 104,256,409,737.36

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.