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Finding the Third Proportional to 227,309,380 and 332,461,011

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Solution

The third proportional to 227,309,380 and 332,461,011 is: 486,255,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,309,380 : 332,461,011 = 332,461,011 : x
  2. Step 2: Convert to fraction form
    227,309,380/332,461,011 = 332,461,011/x
  3. Step 3: Cross multiply
    227,309,380x = 332,461,011 × 332,461,011
  4. Step 4: Simplify right side
    227,309,380x = 110,530,323,835,142,128
  5. Step 5: Solve for x
    x = 110,530,323,835,142,128/227,309,380
  6. Step 6: Final answer
    x = 486,255,005.56

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.