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Finding the Third Proportional to 14,273,857.50 and 21,415,161

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Solution

The third proportional to 14,273,857.50 and 21,415,161 is: 32,129,304.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,273,857.50 : 21,415,161 = 21,415,161 : x
  2. Step 2: Convert to fraction form
    14,273,857.50/21,415,161 = 21,415,161/x
  3. Step 3: Cross multiply
    14,273,857.50x = 21,415,161 × 21,415,161
  4. Step 4: Simplify right side
    14,273,857.50x = 458,609,120,655,921
  5. Step 5: Solve for x
    x = 458,609,120,655,921/14,273,857.50
  6. Step 6: Final answer
    x = 32,129,304.97

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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.