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Finding the Third Proportional to 12,180,511,456 and 19,381,588,224

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Solution

The third proportional to 12,180,511,456 and 19,381,588,224 is: 30,839,916,980.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180,511,456 : 19,381,588,224 = 19,381,588,224 : x
  2. Step 2: Convert to fraction form
    12,180,511,456/19,381,588,224 = 19,381,588,224/x
  3. Step 3: Cross multiply
    12,180,511,456x = 19,381,588,224 × 19,381,588,224
  4. Step 4: Simplify right side
    12,180,511,456x = 375,645,962,084,695,474,176
  5. Step 5: Solve for x
    x = 375,645,962,084,695,474,176/12,180,511,456
  6. Step 6: Final answer
    x = 30,839,916,980.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.