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Finding the Third Proportional to 36,744,296 and 85,823,972

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Solution

The third proportional to 36,744,296 and 85,823,972 is: 200,459,798.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,744,296 : 85,823,972 = 85,823,972 : x
  2. Step 2: Convert to fraction form
    36,744,296/85,823,972 = 85,823,972/x
  3. Step 3: Cross multiply
    36,744,296x = 85,823,972 × 85,823,972
  4. Step 4: Simplify right side
    36,744,296x = 7,365,754,169,856,784
  5. Step 5: Solve for x
    x = 7,365,754,169,856,784/36,744,296
  6. Step 6: Final answer
    x = 200,459,798.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.