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Finding the Third Proportional to 38,481,984 and 80,148,240

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Solution

The third proportional to 38,481,984 and 80,148,240 is: 166,928,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,481,984 : 80,148,240 = 80,148,240 : x
  2. Step 2: Convert to fraction form
    38,481,984/80,148,240 = 80,148,240/x
  3. Step 3: Cross multiply
    38,481,984x = 80,148,240 × 80,148,240
  4. Step 4: Simplify right side
    38,481,984x = 6,423,740,375,097,600
  5. Step 5: Solve for x
    x = 6,423,740,375,097,600/38,481,984
  6. Step 6: Final answer
    x = 166,928,513.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.