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Finding the Third Proportional to 5,389,673,918 and 11,728,402,638

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Solution

The third proportional to 5,389,673,918 and 11,728,402,638 is: 25,522,031,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389,673,918 : 11,728,402,638 = 11,728,402,638 : x
  2. Step 2: Convert to fraction form
    5,389,673,918/11,728,402,638 = 11,728,402,638/x
  3. Step 3: Cross multiply
    5,389,673,918x = 11,728,402,638 × 11,728,402,638
  4. Step 4: Simplify right side
    5,389,673,918x = 137,555,428,439,045,357,568
  5. Step 5: Solve for x
    x = 137,555,428,439,045,357,568/5,389,673,918
  6. Step 6: Final answer
    x = 25,522,031,672.39

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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.