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Finding the Third Proportional to 3,672,135.84 and 7,642,313.16

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Solution

The third proportional to 3,672,135.84 and 7,642,313.16 is: 15,904,899.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672,135.84 : 7,642,313.16 = 7,642,313.16 : x
  2. Step 2: Convert to fraction form
    3,672,135.84/7,642,313.16 = 7,642,313.16/x
  3. Step 3: Cross multiply
    3,672,135.84x = 7,642,313.16 × 7,642,313.16
  4. Step 4: Simplify right side
    3,672,135.84x = 58,404,950,378,191.84
  5. Step 5: Solve for x
    x = 58,404,950,378,191.84/3,672,135.84
  6. Step 6: Final answer
    x = 15,904,899.18

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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.