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Finding the Third Proportional to 16,380,210 and 24,150,411

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Solution

The third proportional to 16,380,210 and 24,150,411 is: 35,606,524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380,210 : 24,150,411 = 24,150,411 : x
  2. Step 2: Convert to fraction form
    16,380,210/24,150,411 = 24,150,411/x
  3. Step 3: Cross multiply
    16,380,210x = 24,150,411 × 24,150,411
  4. Step 4: Simplify right side
    16,380,210x = 583,242,351,468,921
  5. Step 5: Solve for x
    x = 583,242,351,468,921/16,380,210
  6. Step 6: Final answer
    x = 35,606,524.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.