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Finding the Third Proportional to 6,885,742.50 and 10,624,871.25

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Solution

The third proportional to 6,885,742.50 and 10,624,871.25 is: 16,394,439.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885,742.50 : 10,624,871.25 = 10,624,871.25 : x
  2. Step 2: Convert to fraction form
    6,885,742.50/10,624,871.25 = 10,624,871.25/x
  3. Step 3: Cross multiply
    6,885,742.50x = 10,624,871.25 × 10,624,871.25
  4. Step 4: Simplify right side
    6,885,742.50x = 112,887,889,079,076.56
  5. Step 5: Solve for x
    x = 112,887,889,079,076.56/6,885,742.50
  6. Step 6: Final answer
    x = 16,394,439.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.