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Finding the Third Proportional to 219,380,757,066 and 444,930,001,456

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Solution

The third proportional to 219,380,757,066 and 444,930,001,456 is: 902,370,421,376.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,380,757,066 : 444,930,001,456 = 444,930,001,456 : x
  2. Step 2: Convert to fraction form
    219,380,757,066/444,930,001,456 = 444,930,001,456/x
  3. Step 3: Cross multiply
    219,380,757,066x = 444,930,001,456 × 444,930,001,456
  4. Step 4: Simplify right side
    219,380,757,066x = 197,962,706,195,636,157,415,424
  5. Step 5: Solve for x
    x = 197,962,706,195,636,157,415,424/219,380,757,066
  6. Step 6: Final answer
    x = 902,370,421,376.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.