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Finding the Third Proportional to 37,885,182 and 81,832,767

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Solution

The third proportional to 37,885,182 and 81,832,767 is: 176,760,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,885,182 : 81,832,767 = 81,832,767 : x
  2. Step 2: Convert to fraction form
    37,885,182/81,832,767 = 81,832,767/x
  3. Step 3: Cross multiply
    37,885,182x = 81,832,767 × 81,832,767
  4. Step 4: Simplify right side
    37,885,182x = 6,696,601,754,876,289
  5. Step 5: Solve for x
    x = 6,696,601,754,876,289/37,885,182
  6. Step 6: Final answer
    x = 176,760,448.32

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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.