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Finding the Third Proportional to 6,729,905.25 and 14,677,868.25

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Solution

The third proportional to 6,729,905.25 and 14,677,868.25 is: 32,012,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729,905.25 : 14,677,868.25 = 14,677,868.25 : x
  2. Step 2: Convert to fraction form
    6,729,905.25/14,677,868.25 = 14,677,868.25/x
  3. Step 3: Cross multiply
    6,729,905.25x = 14,677,868.25 × 14,677,868.25
  4. Step 4: Simplify right side
    6,729,905.25x = 215,439,816,364,358.06
  5. Step 5: Solve for x
    x = 215,439,816,364,358.06/6,729,905.25
  6. Step 6: Final answer
    x = 32,012,310.48

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Why These Related Problems?

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