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Finding the Third Proportional to 76,621,200 and 170,248,512

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Solution

The third proportional to 76,621,200 and 170,248,512 is: 378,283,762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,621,200 : 170,248,512 = 170,248,512 : x
  2. Step 2: Convert to fraction form
    76,621,200/170,248,512 = 170,248,512/x
  3. Step 3: Cross multiply
    76,621,200x = 170,248,512 × 170,248,512
  4. Step 4: Simplify right side
    76,621,200x = 28,984,555,838,214,144
  5. Step 5: Solve for x
    x = 28,984,555,838,214,144/76,621,200
  6. Step 6: Final answer
    x = 378,283,762.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.