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Finding the Third Proportional to 36,355,138 and 77,816,516

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Solution

The third proportional to 36,355,138 and 77,816,516 is: 166,562,706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,355,138 : 77,816,516 = 77,816,516 : x
  2. Step 2: Convert to fraction form
    36,355,138/77,816,516 = 77,816,516/x
  3. Step 3: Cross multiply
    36,355,138x = 77,816,516 × 77,816,516
  4. Step 4: Simplify right side
    36,355,138x = 6,055,410,162,378,256
  5. Step 5: Solve for x
    x = 6,055,410,162,378,256/36,355,138
  6. Step 6: Final answer
    x = 166,562,706.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.