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Finding the Third Proportional to 12,187,867,181 and 17,163,202,705

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Solution

The third proportional to 12,187,867,181 and 17,163,202,705 is: 24,169,571,485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187,867,181 : 17,163,202,705 = 17,163,202,705 : x
  2. Step 2: Convert to fraction form
    12,187,867,181/17,163,202,705 = 17,163,202,705/x
  3. Step 3: Cross multiply
    12,187,867,181x = 17,163,202,705 × 17,163,202,705
  4. Step 4: Simplify right side
    12,187,867,181x = 294,575,527,092,919,304,192
  5. Step 5: Solve for x
    x = 294,575,527,092,919,304,192/12,187,867,181
  6. Step 6: Final answer
    x = 24,169,571,485.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.