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Finding the Third Proportional to 2,138,236.73 and 4,652,910.84

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Solution

The third proportional to 2,138,236.73 and 4,652,910.84 is: 10,124,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,236.73 : 4,652,910.84 = 4,652,910.84 : x
  2. Step 2: Convert to fraction form
    2,138,236.73/4,652,910.84 = 4,652,910.84/x
  3. Step 3: Cross multiply
    2,138,236.73x = 4,652,910.84 × 4,652,910.84
  4. Step 4: Simplify right side
    2,138,236.73x = 21,649,579,319,886.34
  5. Step 5: Solve for x
    x = 21,649,579,319,886.34/2,138,236.73
  6. Step 6: Final answer
    x = 10,124,968.38

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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.