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Finding the Third Proportional to 18,566,485,872 and 40,073,228,992

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Solution

The third proportional to 18,566,485,872 and 40,073,228,992 is: 86,492,602,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,566,485,872 : 40,073,228,992 = 40,073,228,992 : x
  2. Step 2: Convert to fraction form
    18,566,485,872/40,073,228,992 = 40,073,228,992/x
  3. Step 3: Cross multiply
    18,566,485,872x = 40,073,228,992 × 40,073,228,992
  4. Step 4: Simplify right side
    18,566,485,872x = 1,605,863,681,845,269,364,736
  5. Step 5: Solve for x
    x = 1,605,863,681,845,269,364,736/18,566,485,872
  6. Step 6: Final answer
    x = 86,492,602,472.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.