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Finding the Third Proportional to 12,440,671,109 and 27,417,147,203

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Solution

The third proportional to 12,440,671,109 and 27,417,147,203 is: 60,422,782,192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,440,671,109 : 27,417,147,203 = 27,417,147,203 : x
  2. Step 2: Convert to fraction form
    12,440,671,109/27,417,147,203 = 27,417,147,203/x
  3. Step 3: Cross multiply
    12,440,671,109x = 27,417,147,203 × 27,417,147,203
  4. Step 4: Simplify right side
    12,440,671,109x = 751,699,960,750,970,765,312
  5. Step 5: Solve for x
    x = 751,699,960,750,970,765,312/12,440,671,109
  6. Step 6: Final answer
    x = 60,422,782,192.77

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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.