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Finding the Third Proportional to 14,424,193.50 and 20,625,256.50

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Solution

The third proportional to 14,424,193.50 and 20,625,256.50 is: 29,492,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424,193.50 : 20,625,256.50 = 20,625,256.50 : x
  2. Step 2: Convert to fraction form
    14,424,193.50/20,625,256.50 = 20,625,256.50/x
  3. Step 3: Cross multiply
    14,424,193.50x = 20,625,256.50 × 20,625,256.50
  4. Step 4: Simplify right side
    14,424,193.50x = 425,401,205,690,792.25
  5. Step 5: Solve for x
    x = 425,401,205,690,792.25/14,424,193.50
  6. Step 6: Final answer
    x = 29,492,200.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.