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Finding the Third Proportional to 12,186,920,740 and 16,839,555,922

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Solution

The third proportional to 12,186,920,740 and 16,839,555,922 is: 23,268,440,789.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186,920,740 : 16,839,555,922 = 16,839,555,922 : x
  2. Step 2: Convert to fraction form
    12,186,920,740/16,839,555,922 = 16,839,555,922/x
  3. Step 3: Cross multiply
    12,186,920,740x = 16,839,555,922 × 16,839,555,922
  4. Step 4: Simplify right side
    12,186,920,740x = 283,570,643,650,165,276,672
  5. Step 5: Solve for x
    x = 283,570,643,650,165,276,672/12,186,920,740
  6. Step 6: Final answer
    x = 23,268,440,789.92

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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.