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Finding the Third Proportional to 77,738,122 and 170,120,467

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Solution

The third proportional to 77,738,122 and 170,120,467 is: 372,288,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,738,122 : 170,120,467 = 170,120,467 : x
  2. Step 2: Convert to fraction form
    77,738,122/170,120,467 = 170,120,467/x
  3. Step 3: Cross multiply
    77,738,122x = 170,120,467 × 170,120,467
  4. Step 4: Simplify right side
    77,738,122x = 28,940,973,292,298,088
  5. Step 5: Solve for x
    x = 28,940,973,292,298,088/77,738,122
  6. Step 6: Final answer
    x = 372,288,042.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.