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Finding the Third Proportional to 37,885,174 and 81,832,752

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Solution

The third proportional to 37,885,174 and 81,832,752 is: 176,760,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,885,174 : 81,832,752 = 81,832,752 : x
  2. Step 2: Convert to fraction form
    37,885,174/81,832,752 = 81,832,752/x
  3. Step 3: Cross multiply
    37,885,174x = 81,832,752 × 81,832,752
  4. Step 4: Simplify right side
    37,885,174x = 6,696,599,299,893,504
  5. Step 5: Solve for x
    x = 6,696,599,299,893,504/37,885,174
  6. Step 6: Final answer
    x = 176,760,420.84

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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.