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Finding the Third Proportional to 38,717,133 and 84,262,077

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Solution

The third proportional to 38,717,133 and 84,262,077 is: 183,383,868.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,717,133 : 84,262,077 = 84,262,077 : x
  2. Step 2: Convert to fraction form
    38,717,133/84,262,077 = 84,262,077/x
  3. Step 3: Cross multiply
    38,717,133x = 84,262,077 × 84,262,077
  4. Step 4: Simplify right side
    38,717,133x = 7,100,097,620,353,929
  5. Step 5: Solve for x
    x = 7,100,097,620,353,929/38,717,133
  6. Step 6: Final answer
    x = 183,383,868.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.