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Finding the Third Proportional to 380,640,986 and 605,674,638

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Solution

The third proportional to 380,640,986 and 605,674,638 is: 963,747,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,640,986 : 605,674,638 = 605,674,638 : x
  2. Step 2: Convert to fraction form
    380,640,986/605,674,638 = 605,674,638/x
  3. Step 3: Cross multiply
    380,640,986x = 605,674,638 × 605,674,638
  4. Step 4: Simplify right side
    380,640,986x = 366,841,767,116,431,040
  5. Step 5: Solve for x
    x = 366,841,767,116,431,040/380,640,986
  6. Step 6: Final answer
    x = 963,747,417.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.