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Finding the Third Proportional to 29,965,516 and 65,763,660

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Solution

The third proportional to 29,965,516 and 65,763,660 is: 144,327,865.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,965,516 : 65,763,660 = 65,763,660 : x
  2. Step 2: Convert to fraction form
    29,965,516/65,763,660 = 65,763,660/x
  3. Step 3: Cross multiply
    29,965,516x = 65,763,660 × 65,763,660
  4. Step 4: Simplify right side
    29,965,516x = 4,324,858,976,595,600
  5. Step 5: Solve for x
    x = 4,324,858,976,595,600/29,965,516
  6. Step 6: Final answer
    x = 144,327,865.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.