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Finding the Third Proportional to 11,634,900 and 27,174,350

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Solution

The third proportional to 11,634,900 and 27,174,350 is: 63,468,125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634,900 : 27,174,350 = 27,174,350 : x
  2. Step 2: Convert to fraction form
    11,634,900/27,174,350 = 27,174,350/x
  3. Step 3: Cross multiply
    11,634,900x = 27,174,350 × 27,174,350
  4. Step 4: Simplify right side
    11,634,900x = 738,445,297,922,500
  5. Step 5: Solve for x
    x = 738,445,297,922,500/11,634,900
  6. Step 6: Final answer
    x = 63,468,125.89

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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.