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Finding the Third Proportional to 31,001,271.75 and 66,741,165

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Solution

The third proportional to 31,001,271.75 and 66,741,165 is: 143,683,883.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,001,271.75 : 66,741,165 = 66,741,165 : x
  2. Step 2: Convert to fraction form
    31,001,271.75/66,741,165 = 66,741,165/x
  3. Step 3: Cross multiply
    31,001,271.75x = 66,741,165 × 66,741,165
  4. Step 4: Simplify right side
    31,001,271.75x = 4,454,383,105,557,225
  5. Step 5: Solve for x
    x = 4,454,383,105,557,225/31,001,271.75
  6. Step 6: Final answer
    x = 143,683,883.08

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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.