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Finding the Third Proportional to 4,535,206.50 and 9,867,573

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Solution

The third proportional to 4,535,206.50 and 9,867,573 is: 21,469,584.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535,206.50 : 9,867,573 = 9,867,573 : x
  2. Step 2: Convert to fraction form
    4,535,206.50/9,867,573 = 9,867,573/x
  3. Step 3: Cross multiply
    4,535,206.50x = 9,867,573 × 9,867,573
  4. Step 4: Simplify right side
    4,535,206.50x = 97,368,996,910,329
  5. Step 5: Solve for x
    x = 97,368,996,910,329/4,535,206.50
  6. Step 6: Final answer
    x = 21,469,584.00

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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.