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Finding the Third Proportional to 416,230,915,943 and 662,305,211,661

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Solution

The third proportional to 416,230,915,943 and 662,305,211,661 is: 1,053,857,790,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,230,915,943 : 662,305,211,661 = 662,305,211,661 : x
  2. Step 2: Convert to fraction form
    416,230,915,943/662,305,211,661 = 662,305,211,661/x
  3. Step 3: Cross multiply
    416,230,915,943x = 662,305,211,661 × 662,305,211,661
  4. Step 4: Simplify right side
    416,230,915,943x = 438,648,193,393,322,023,190,528
  5. Step 5: Solve for x
    x = 438,648,193,393,322,023,190,528/416,230,915,943
  6. Step 6: Final answer
    x = 1,053,857,790,451.57

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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.