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Finding the Third Proportional to 13,124,965.50 and 20,542,323

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Solution

The third proportional to 13,124,965.50 and 20,542,323 is: 32,151,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,124,965.50 : 20,542,323 = 20,542,323 : x
  2. Step 2: Convert to fraction form
    13,124,965.50/20,542,323 = 20,542,323/x
  3. Step 3: Cross multiply
    13,124,965.50x = 20,542,323 × 20,542,323
  4. Step 4: Simplify right side
    13,124,965.50x = 421,987,034,236,329
  5. Step 5: Solve for x
    x = 421,987,034,236,329/13,124,965.50
  6. Step 6: Final answer
    x = 32,151,477.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.