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Finding the Third Proportional to 14,314,861.69 and 21,425,514.19

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Solution

The third proportional to 14,314,861.69 and 21,425,514.19 is: 32,068,256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314,861.69 : 21,425,514.19 = 21,425,514.19 : x
  2. Step 2: Convert to fraction form
    14,314,861.69/21,425,514.19 = 21,425,514.19/x
  3. Step 3: Cross multiply
    14,314,861.69x = 21,425,514.19 × 21,425,514.19
  4. Step 4: Simplify right side
    14,314,861.69x = 459,052,658,198,763.81
  5. Step 5: Solve for x
    x = 459,052,658,198,763.81/14,314,861.69
  6. Step 6: Final answer
    x = 32,068,256.63

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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.