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Finding the Third Proportional to 6,982,645.50 and 10,837,071

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Solution

The third proportional to 6,982,645.50 and 10,837,071 is: 16,819,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982,645.50 : 10,837,071 = 10,837,071 : x
  2. Step 2: Convert to fraction form
    6,982,645.50/10,837,071 = 10,837,071/x
  3. Step 3: Cross multiply
    6,982,645.50x = 10,837,071 × 10,837,071
  4. Step 4: Simplify right side
    6,982,645.50x = 117,442,107,859,041
  5. Step 5: Solve for x
    x = 117,442,107,859,041/6,982,645.50
  6. Step 6: Final answer
    x = 16,819,142.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.