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Finding the Third Proportional to 3,382,742.25 and 7,097,635.13

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Solution

The third proportional to 3,382,742.25 and 7,097,635.13 is: 14,892,185.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382,742.25 : 7,097,635.13 = 7,097,635.13 : x
  2. Step 2: Convert to fraction form
    3,382,742.25/7,097,635.13 = 7,097,635.13/x
  3. Step 3: Cross multiply
    3,382,742.25x = 7,097,635.13 × 7,097,635.13
  4. Step 4: Simplify right side
    3,382,742.25x = 50,376,424,367,633.77
  5. Step 5: Solve for x
    x = 50,376,424,367,633.77/3,382,742.25
  6. Step 6: Final answer
    x = 14,892,185.29

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.