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Finding the Third Proportional to 37,885,009.50 and 81,832,383

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Solution

The third proportional to 37,885,009.50 and 81,832,383 is: 176,759,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,885,009.50 : 81,832,383 = 81,832,383 : x
  2. Step 2: Convert to fraction form
    37,885,009.50/81,832,383 = 81,832,383/x
  3. Step 3: Cross multiply
    37,885,009.50x = 81,832,383 × 81,832,383
  4. Step 4: Simplify right side
    37,885,009.50x = 6,696,538,907,458,689
  5. Step 5: Solve for x
    x = 6,696,538,907,458,689/37,885,009.50
  6. Step 6: Final answer
    x = 176,759,594.25

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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.