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Finding the Third Proportional to 37,885,050.56 and 81,832,512.38

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Solution

The third proportional to 37,885,050.56 and 81,832,512.38 is: 176,759,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,885,050.56 : 81,832,512.38 = 81,832,512.38 : x
  2. Step 2: Convert to fraction form
    37,885,050.56/81,832,512.38 = 81,832,512.38/x
  3. Step 3: Cross multiply
    37,885,050.56x = 81,832,512.38 × 81,832,512.38
  4. Step 4: Simplify right side
    37,885,050.56x = 6,696,560,081,604,528
  5. Step 5: Solve for x
    x = 6,696,560,081,604,528/37,885,050.56
  6. Step 6: Final answer
    x = 176,759,961.57

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