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Finding the Third Proportional to 51,531,726 and 112,322,720

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Solution

The third proportional to 51,531,726 and 112,322,720 is: 244,827,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,531,726 : 112,322,720 = 112,322,720 : x
  2. Step 2: Convert to fraction form
    51,531,726/112,322,720 = 112,322,720/x
  3. Step 3: Cross multiply
    51,531,726x = 112,322,720 × 112,322,720
  4. Step 4: Simplify right side
    51,531,726x = 12,616,393,428,198,400
  5. Step 5: Solve for x
    x = 12,616,393,428,198,400/51,531,726
  6. Step 6: Final answer
    x = 244,827,689.80

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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.