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Finding the Third Proportional to 37,110,400 and 75,264,256

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Solution

The third proportional to 37,110,400 and 75,264,256 is: 152,644,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,110,400 : 75,264,256 = 75,264,256 : x
  2. Step 2: Convert to fraction form
    37,110,400/75,264,256 = 75,264,256/x
  3. Step 3: Cross multiply
    37,110,400x = 75,264,256 × 75,264,256
  4. Step 4: Simplify right side
    37,110,400x = 5,664,708,231,233,536
  5. Step 5: Solve for x
    x = 5,664,708,231,233,536/37,110,400
  6. Step 6: Final answer
    x = 152,644,763.50

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.