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Finding the Third Proportional to 31,197,945 and 48,685,584.75

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Solution

The third proportional to 31,197,945 and 48,685,584.75 is: 75,975,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,197,945 : 48,685,584.75 = 48,685,584.75 : x
  2. Step 2: Convert to fraction form
    31,197,945/48,685,584.75 = 48,685,584.75/x
  3. Step 3: Cross multiply
    31,197,945x = 48,685,584.75 × 48,685,584.75
  4. Step 4: Simplify right side
    31,197,945x = 2,370,286,162,449,432.50
  5. Step 5: Solve for x
    x = 2,370,286,162,449,432.50/31,197,945
  6. Step 6: Final answer
    x = 75,975,714.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.