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Finding the Third Proportional to 186,699,660,003 and 401,715,770,955

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Solution

The third proportional to 186,699,660,003 and 401,715,770,955 is: 864,359,156,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,699,660,003 : 401,715,770,955 = 401,715,770,955 : x
  2. Step 2: Convert to fraction form
    186,699,660,003/401,715,770,955 = 401,715,770,955/x
  3. Step 3: Cross multiply
    186,699,660,003x = 401,715,770,955 × 401,715,770,955
  4. Step 4: Simplify right side
    186,699,660,003x = 161,375,560,633,970,017,173,504
  5. Step 5: Solve for x
    x = 161,375,560,633,970,017,173,504/186,699,660,003
  6. Step 6: Final answer
    x = 864,359,156,472.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.