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Finding the Third Proportional to 31,617,451.41 and 70,504,773.47

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Solution

The third proportional to 31,617,451.41 and 70,504,773.47 is: 157,220,865.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,617,451.41 : 70,504,773.47 = 70,504,773.47 : x
  2. Step 2: Convert to fraction form
    31,617,451.41/70,504,773.47 = 70,504,773.47/x
  3. Step 3: Cross multiply
    31,617,451.41x = 70,504,773.47 × 70,504,773.47
  4. Step 4: Simplify right side
    31,617,451.41x = 4,970,923,081,879,754
  5. Step 5: Solve for x
    x = 4,970,923,081,879,754/31,617,451.41
  6. Step 6: Final answer
    x = 157,220,865.72

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.