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Finding the Third Proportional to 6,491,508.75 and 13,851,870.75

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Solution

The third proportional to 6,491,508.75 and 13,851,870.75 is: 29,557,739.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491,508.75 : 13,851,870.75 = 13,851,870.75 : x
  2. Step 2: Convert to fraction form
    6,491,508.75/13,851,870.75 = 13,851,870.75/x
  3. Step 3: Cross multiply
    6,491,508.75x = 13,851,870.75 × 13,851,870.75
  4. Step 4: Simplify right side
    6,491,508.75x = 191,874,323,274,705.56
  5. Step 5: Solve for x
    x = 191,874,323,274,705.56/6,491,508.75
  6. Step 6: Final answer
    x = 29,557,739.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.