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Finding the Third Proportional to 6,414,717.25 and 13,958,746.50

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Solution

The third proportional to 6,414,717.25 and 13,958,746.50 is: 30,374,932.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414,717.25 : 13,958,746.50 = 13,958,746.50 : x
  2. Step 2: Convert to fraction form
    6,414,717.25/13,958,746.50 = 13,958,746.50/x
  3. Step 3: Cross multiply
    6,414,717.25x = 13,958,746.50 × 13,958,746.50
  4. Step 4: Simplify right side
    6,414,717.25x = 194,846,603,851,262.25
  5. Step 5: Solve for x
    x = 194,846,603,851,262.25/6,414,717.25
  6. Step 6: Final answer
    x = 30,374,932.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.