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Finding the Third Proportional to 10,862,950.50 and 16,294,668.75

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Solution

The third proportional to 10,862,950.50 and 16,294,668.75 is: 24,442,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862,950.50 : 16,294,668.75 = 16,294,668.75 : x
  2. Step 2: Convert to fraction form
    10,862,950.50/16,294,668.75 = 16,294,668.75/x
  3. Step 3: Cross multiply
    10,862,950.50x = 16,294,668.75 × 16,294,668.75
  4. Step 4: Simplify right side
    10,862,950.50x = 265,516,229,672,226.56
  5. Step 5: Solve for x
    x = 265,516,229,672,226.56/10,862,950.50
  6. Step 6: Final answer
    x = 24,442,367.63

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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.