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Finding the Third Proportional to 33,699,159 and 72,768,132

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Solution

The third proportional to 33,699,159 and 72,768,132 is: 157,131,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,699,159 : 72,768,132 = 72,768,132 : x
  2. Step 2: Convert to fraction form
    33,699,159/72,768,132 = 72,768,132/x
  3. Step 3: Cross multiply
    33,699,159x = 72,768,132 × 72,768,132
  4. Step 4: Simplify right side
    33,699,159x = 5,295,201,034,769,424
  5. Step 5: Solve for x
    x = 5,295,201,034,769,424/33,699,159
  6. Step 6: Final answer
    x = 157,131,548.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.