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Finding the Third Proportional to 8,185,893.75 and 17,824,043.25

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Solution

The third proportional to 8,185,893.75 and 17,824,043.25 is: 38,810,242.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185,893.75 : 17,824,043.25 = 17,824,043.25 : x
  2. Step 2: Convert to fraction form
    8,185,893.75/17,824,043.25 = 17,824,043.25/x
  3. Step 3: Cross multiply
    8,185,893.75x = 17,824,043.25 × 17,824,043.25
  4. Step 4: Simplify right side
    8,185,893.75x = 317,696,517,777,870.56
  5. Step 5: Solve for x
    x = 317,696,517,777,870.56/8,185,893.75
  6. Step 6: Final answer
    x = 38,810,242.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.