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Finding the Third Proportional to 38,254,414 and 83,003,676

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Solution

The third proportional to 38,254,414 and 83,003,676 is: 180,099,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,254,414 : 83,003,676 = 83,003,676 : x
  2. Step 2: Convert to fraction form
    38,254,414/83,003,676 = 83,003,676/x
  3. Step 3: Cross multiply
    38,254,414x = 83,003,676 × 83,003,676
  4. Step 4: Simplify right side
    38,254,414x = 6,889,610,229,512,976
  5. Step 5: Solve for x
    x = 6,889,610,229,512,976/38,254,414
  6. Step 6: Final answer
    x = 180,099,745.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.