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Finding the Third Proportional to 471,292,138 and 991,424,360

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Solution

The third proportional to 471,292,138 and 991,424,360 is: 2,085,590,194.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,292,138 : 991,424,360 = 991,424,360 : x
  2. Step 2: Convert to fraction form
    471,292,138/991,424,360 = 991,424,360/x
  3. Step 3: Cross multiply
    471,292,138x = 991,424,360 × 991,424,360
  4. Step 4: Simplify right side
    471,292,138x = 982,922,261,601,409,536
  5. Step 5: Solve for x
    x = 982,922,261,601,409,536/471,292,138
  6. Step 6: Final answer
    x = 2,085,590,194.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.