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Finding the Third Proportional to 37,858,915.05 and 82,351,103.84

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Solution

The third proportional to 37,858,915.05 and 82,351,103.84 is: 179,130,973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,858,915.05 : 82,351,103.84 = 82,351,103.84 : x
  2. Step 2: Convert to fraction form
    37,858,915.05/82,351,103.84 = 82,351,103.84/x
  3. Step 3: Cross multiply
    37,858,915.05x = 82,351,103.84 × 82,351,103.84
  4. Step 4: Simplify right side
    37,858,915.05x = 6,781,704,302,997,772
  5. Step 5: Solve for x
    x = 6,781,704,302,997,772/37,858,915.05
  6. Step 6: Final answer
    x = 179,130,973.33

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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.