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Finding the Third Proportional to 69,914,036 and 142,603,816

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Solution

The third proportional to 69,914,036 and 142,603,816 is: 290,869,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,914,036 : 142,603,816 = 142,603,816 : x
  2. Step 2: Convert to fraction form
    69,914,036/142,603,816 = 142,603,816/x
  3. Step 3: Cross multiply
    69,914,036x = 142,603,816 × 142,603,816
  4. Step 4: Simplify right side
    69,914,036x = 20,335,848,337,761,856
  5. Step 5: Solve for x
    x = 20,335,848,337,761,856/69,914,036
  6. Step 6: Final answer
    x = 290,869,323.26

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.