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Finding the Third Proportional to 3,672,138 and 7,642,315.50

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Solution

The third proportional to 3,672,138 and 7,642,315.50 is: 15,904,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672,138 : 7,642,315.50 = 7,642,315.50 : x
  2. Step 2: Convert to fraction form
    3,672,138/7,642,315.50 = 7,642,315.50/x
  3. Step 3: Cross multiply
    3,672,138x = 7,642,315.50 × 7,642,315.50
  4. Step 4: Simplify right side
    3,672,138x = 58,404,986,201,540.25
  5. Step 5: Solve for x
    x = 58,404,986,201,540.25/3,672,138
  6. Step 6: Final answer
    x = 15,904,899.60

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.