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Finding the Third Proportional to 76,004,992 and 162,771,970

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Solution

The third proportional to 76,004,992 and 162,771,970 is: 348,591,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,004,992 : 162,771,970 = 162,771,970 : x
  2. Step 2: Convert to fraction form
    76,004,992/162,771,970 = 162,771,970/x
  3. Step 3: Cross multiply
    76,004,992x = 162,771,970 × 162,771,970
  4. Step 4: Simplify right side
    76,004,992x = 26,494,714,217,680,900
  5. Step 5: Solve for x
    x = 26,494,714,217,680,900/76,004,992
  6. Step 6: Final answer
    x = 348,591,763.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.