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Finding the Third Proportional to 12,832,842 and 28,534,905.75

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Solution

The third proportional to 12,832,842 and 28,534,905.75 is: 63,449,767.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832,842 : 28,534,905.75 = 28,534,905.75 : x
  2. Step 2: Convert to fraction form
    12,832,842/28,534,905.75 = 28,534,905.75/x
  3. Step 3: Cross multiply
    12,832,842x = 28,534,905.75 × 28,534,905.75
  4. Step 4: Simplify right side
    12,832,842x = 814,240,846,161,383
  5. Step 5: Solve for x
    x = 814,240,846,161,383/12,832,842
  6. Step 6: Final answer
    x = 63,449,767.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.