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Finding the Third Proportional to 27,863,180 and 43,036,978

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Solution

The third proportional to 27,863,180 and 43,036,978 is: 66,474,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,863,180 : 43,036,978 = 43,036,978 : x
  2. Step 2: Convert to fraction form
    27,863,180/43,036,978 = 43,036,978/x
  3. Step 3: Cross multiply
    27,863,180x = 43,036,978 × 43,036,978
  4. Step 4: Simplify right side
    27,863,180x = 1,852,181,475,372,484
  5. Step 5: Solve for x
    x = 1,852,181,475,372,484/27,863,180
  6. Step 6: Final answer
    x = 66,474,159.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.