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Finding the Third Proportional to 2,540,499,399 and 5,503,151,178

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Solution

The third proportional to 2,540,499,399 and 5,503,151,178 is: 11,920,755,777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540,499,399 : 5,503,151,178 = 5,503,151,178 : x
  2. Step 2: Convert to fraction form
    2,540,499,399/5,503,151,178 = 5,503,151,178/x
  3. Step 3: Cross multiply
    2,540,499,399x = 5,503,151,178 × 5,503,151,178
  4. Step 4: Simplify right side
    2,540,499,399x = 30,284,672,887,922,786,304
  5. Step 5: Solve for x
    x = 30,284,672,887,922,786,304/2,540,499,399
  6. Step 6: Final answer
    x = 11,920,755,777.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.