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Finding the Third Proportional to 13,986,038.50 and 21,600,166

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Solution

The third proportional to 13,986,038.50 and 21,600,166 is: 33,359,494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986,038.50 : 21,600,166 = 21,600,166 : x
  2. Step 2: Convert to fraction form
    13,986,038.50/21,600,166 = 21,600,166/x
  3. Step 3: Cross multiply
    13,986,038.50x = 21,600,166 × 21,600,166
  4. Step 4: Simplify right side
    13,986,038.50x = 466,567,171,227,556
  5. Step 5: Solve for x
    x = 466,567,171,227,556/13,986,038.50
  6. Step 6: Final answer
    x = 33,359,494.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.