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Finding the Third Proportional to 45,745,346 and 100,448,644

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Solution

The third proportional to 45,745,346 and 100,448,644 is: 220,567,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,745,346 : 100,448,644 = 100,448,644 : x
  2. Step 2: Convert to fraction form
    45,745,346/100,448,644 = 100,448,644/x
  3. Step 3: Cross multiply
    45,745,346x = 100,448,644 × 100,448,644
  4. Step 4: Simplify right side
    45,745,346x = 10,089,930,081,438,736
  5. Step 5: Solve for x
    x = 10,089,930,081,438,736/45,745,346
  6. Step 6: Final answer
    x = 220,567,357.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.