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Finding the Third Proportional to 54,835,830 and 120,433,888

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Solution

The third proportional to 54,835,830 and 120,433,888 is: 264,504,455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,835,830 : 120,433,888 = 120,433,888 : x
  2. Step 2: Convert to fraction form
    54,835,830/120,433,888 = 120,433,888/x
  3. Step 3: Cross multiply
    54,835,830x = 120,433,888 × 120,433,888
  4. Step 4: Simplify right side
    54,835,830x = 14,504,321,378,796,544
  5. Step 5: Solve for x
    x = 14,504,321,378,796,544/54,835,830
  6. Step 6: Final answer
    x = 264,504,455.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.