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Finding the Third Proportional to 36,355,140 and 77,816,520

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Solution

The third proportional to 36,355,140 and 77,816,520 is: 166,562,713.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,355,140 : 77,816,520 = 77,816,520 : x
  2. Step 2: Convert to fraction form
    36,355,140/77,816,520 = 77,816,520/x
  3. Step 3: Cross multiply
    36,355,140x = 77,816,520 × 77,816,520
  4. Step 4: Simplify right side
    36,355,140x = 6,055,410,784,910,400
  5. Step 5: Solve for x
    x = 6,055,410,784,910,400/36,355,140
  6. Step 6: Final answer
    x = 166,562,713.96

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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.