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Finding the Third Proportional to 31,002,424 and 66,743,036

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Solution

The third proportional to 31,002,424 and 66,743,036 is: 143,686,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,002,424 : 66,743,036 = 66,743,036 : x
  2. Step 2: Convert to fraction form
    31,002,424/66,743,036 = 66,743,036/x
  3. Step 3: Cross multiply
    31,002,424x = 66,743,036 × 66,743,036
  4. Step 4: Simplify right side
    31,002,424x = 4,454,632,854,497,296
  5. Step 5: Solve for x
    x = 4,454,632,854,497,296/31,002,424
  6. Step 6: Final answer
    x = 143,686,598.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.