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Finding the Third Proportional to 65,382,660 and 137,541,132

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Solution

The third proportional to 65,382,660 and 137,541,132 is: 289,336,086.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,382,660 : 137,541,132 = 137,541,132 : x
  2. Step 2: Convert to fraction form
    65,382,660/137,541,132 = 137,541,132/x
  3. Step 3: Cross multiply
    65,382,660x = 137,541,132 × 137,541,132
  4. Step 4: Simplify right side
    65,382,660x = 18,917,562,991,841,424
  5. Step 5: Solve for x
    x = 18,917,562,991,841,424/65,382,660
  6. Step 6: Final answer
    x = 289,336,086.84

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.