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Finding the Third Proportional to 12,186,920,744 and 16,839,555,928

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Solution

The third proportional to 12,186,920,744 and 16,839,555,928 is: 23,268,440,798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186,920,744 : 16,839,555,928 = 16,839,555,928 : x
  2. Step 2: Convert to fraction form
    12,186,920,744/16,839,555,928 = 16,839,555,928/x
  3. Step 3: Cross multiply
    12,186,920,744x = 16,839,555,928 × 16,839,555,928
  4. Step 4: Simplify right side
    12,186,920,744x = 283,570,643,852,239,929,344
  5. Step 5: Solve for x
    x = 283,570,643,852,239,929,344/12,186,920,744
  6. Step 6: Final answer
    x = 23,268,440,798.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.