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Finding the Third Proportional to 12,440,671,247 and 27,417,147,480

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Solution

The third proportional to 12,440,671,247 and 27,417,147,480 is: 60,422,782,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,440,671,247 : 27,417,147,480 = 27,417,147,480 : x
  2. Step 2: Convert to fraction form
    12,440,671,247/27,417,147,480 = 27,417,147,480/x
  3. Step 3: Cross multiply
    12,440,671,247x = 27,417,147,480 × 27,417,147,480
  4. Step 4: Simplify right side
    12,440,671,247x = 751,699,975,940,070,309,888
  5. Step 5: Solve for x
    x = 751,699,975,940,070,309,888/12,440,671,247
  6. Step 6: Final answer
    x = 60,422,782,743.44

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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.