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Finding the Third Proportional to 6,236,424 and 9,329,206.50

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Solution

The third proportional to 6,236,424 and 9,329,206.50 is: 13,955,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236,424 : 9,329,206.50 = 9,329,206.50 : x
  2. Step 2: Convert to fraction form
    6,236,424/9,329,206.50 = 9,329,206.50/x
  3. Step 3: Cross multiply
    6,236,424x = 9,329,206.50 × 9,329,206.50
  4. Step 4: Simplify right side
    6,236,424x = 87,034,093,919,642.25
  5. Step 5: Solve for x
    x = 87,034,093,919,642.25/6,236,424
  6. Step 6: Final answer
    x = 13,955,769.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.