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Finding the Third Proportional to 33,451,769 and 47,108,169

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Solution

The third proportional to 33,451,769 and 47,108,169 is: 66,339,678.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,451,769 : 47,108,169 = 47,108,169 : x
  2. Step 2: Convert to fraction form
    33,451,769/47,108,169 = 47,108,169/x
  3. Step 3: Cross multiply
    33,451,769x = 47,108,169 × 47,108,169
  4. Step 4: Simplify right side
    33,451,769x = 2,219,179,586,532,561
  5. Step 5: Solve for x
    x = 2,219,179,586,532,561/33,451,769
  6. Step 6: Final answer
    x = 66,339,678.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.