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Finding the Third Proportional to 5,389,674,086 and 11,728,402,971

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Solution

The third proportional to 5,389,674,086 and 11,728,402,971 is: 25,522,032,326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389,674,086 : 11,728,402,971 = 11,728,402,971 : x
  2. Step 2: Convert to fraction form
    5,389,674,086/11,728,402,971 = 11,728,402,971/x
  3. Step 3: Cross multiply
    5,389,674,086x = 11,728,402,971 × 11,728,402,971
  4. Step 4: Simplify right side
    5,389,674,086x = 137,555,436,250,161,627,136
  5. Step 5: Solve for x
    x = 137,555,436,250,161,627,136/5,389,674,086
  6. Step 6: Final answer
    x = 25,522,032,326.12

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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.