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Finding the Third Proportional to 36,744,384 and 85,824,176

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Solution

The third proportional to 36,744,384 and 85,824,176 is: 200,460,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,744,384 : 85,824,176 = 85,824,176 : x
  2. Step 2: Convert to fraction form
    36,744,384/85,824,176 = 85,824,176/x
  3. Step 3: Cross multiply
    36,744,384x = 85,824,176 × 85,824,176
  4. Step 4: Simplify right side
    36,744,384x = 7,365,789,186,078,976
  5. Step 5: Solve for x
    x = 7,365,789,186,078,976/36,744,384
  6. Step 6: Final answer
    x = 200,460,271.32

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