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Finding the Third Proportional to 41,844,728 and 90,295,160

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Solution

The third proportional to 41,844,728 and 90,295,160 is: 194,844,519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,844,728 : 90,295,160 = 90,295,160 : x
  2. Step 2: Convert to fraction form
    41,844,728/90,295,160 = 90,295,160/x
  3. Step 3: Cross multiply
    41,844,728x = 90,295,160 × 90,295,160
  4. Step 4: Simplify right side
    41,844,728x = 8,153,215,919,425,600
  5. Step 5: Solve for x
    x = 8,153,215,919,425,600/41,844,728
  6. Step 6: Final answer
    x = 194,844,519.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.