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Finding the Third Proportional to 74,250,540 and 159,469,128

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Solution

The third proportional to 74,250,540 and 159,469,128 is: 342,494,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,250,540 : 159,469,128 = 159,469,128 : x
  2. Step 2: Convert to fraction form
    74,250,540/159,469,128 = 159,469,128/x
  3. Step 3: Cross multiply
    74,250,540x = 159,469,128 × 159,469,128
  4. Step 4: Simplify right side
    74,250,540x = 25,430,402,785,080,384
  5. Step 5: Solve for x
    x = 25,430,402,785,080,384/74,250,540
  6. Step 6: Final answer
    x = 342,494,516.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.