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Finding the Third Proportional to 18,399,433,268 and 40,022,637,580

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Solution

The third proportional to 18,399,433,268 and 40,022,637,580 is: 87,057,655,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,399,433,268 : 40,022,637,580 = 40,022,637,580 : x
  2. Step 2: Convert to fraction form
    18,399,433,268/40,022,637,580 = 40,022,637,580/x
  3. Step 3: Cross multiply
    18,399,433,268x = 40,022,637,580 × 40,022,637,580
  4. Step 4: Simplify right side
    18,399,433,268x = 1,601,811,518,860,028,280,832
  5. Step 5: Solve for x
    x = 1,601,811,518,860,028,280,832/18,399,433,268
  6. Step 6: Final answer
    x = 87,057,655,283.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.