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Finding the Third Proportional to 13,527,216 and 20,954,306

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Solution

The third proportional to 13,527,216 and 20,954,306 is: 32,459,224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527,216 : 20,954,306 = 20,954,306 : x
  2. Step 2: Convert to fraction form
    13,527,216/20,954,306 = 20,954,306/x
  3. Step 3: Cross multiply
    13,527,216x = 20,954,306 × 20,954,306
  4. Step 4: Simplify right side
    13,527,216x = 439,082,939,941,636
  5. Step 5: Solve for x
    x = 439,082,939,941,636/13,527,216
  6. Step 6: Final answer
    x = 32,459,224.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.