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Finding the Third Proportional to 31,617,555.75 and 70,504,908.75

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Solution

The third proportional to 31,617,555.75 and 70,504,908.75 is: 157,220,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,617,555.75 : 70,504,908.75 = 70,504,908.75 : x
  2. Step 2: Convert to fraction form
    31,617,555.75/70,504,908.75 = 70,504,908.75/x
  3. Step 3: Cross multiply
    31,617,555.75x = 70,504,908.75 × 70,504,908.75
  4. Step 4: Simplify right side
    31,617,555.75x = 4,970,942,157,845,827
  5. Step 5: Solve for x
    x = 4,970,942,157,845,827/31,617,555.75
  6. Step 6: Final answer
    x = 157,220,950.19

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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.