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Finding the Third Proportional to 6,308,473.50 and 9,452,215.69

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Solution

The third proportional to 6,308,473.50 and 9,452,215.69 is: 14,162,599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308,473.50 : 9,452,215.69 = 9,452,215.69 : x
  2. Step 2: Convert to fraction form
    6,308,473.50/9,452,215.69 = 9,452,215.69/x
  3. Step 3: Cross multiply
    6,308,473.50x = 9,452,215.69 × 9,452,215.69
  4. Step 4: Simplify right side
    6,308,473.50x = 89,344,381,403,021.09
  5. Step 5: Solve for x
    x = 89,344,381,403,021.09/6,308,473.50
  6. Step 6: Final answer
    x = 14,162,599.15

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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.