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Finding the Third Proportional to 380,640,983 and 605,674,632

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Solution

The third proportional to 380,640,983 and 605,674,632 is: 963,747,405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,640,983 : 605,674,632 = 605,674,632 : x
  2. Step 2: Convert to fraction form
    380,640,983/605,674,632 = 605,674,632/x
  3. Step 3: Cross multiply
    380,640,983x = 605,674,632 × 605,674,632
  4. Step 4: Simplify right side
    380,640,983x = 366,841,759,848,335,424
  5. Step 5: Solve for x
    x = 366,841,759,848,335,424/380,640,983
  6. Step 6: Final answer
    x = 963,747,405.64

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