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Finding the Third Proportional to 16,241,148 and 22,850,960.63

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Solution

The third proportional to 16,241,148 and 22,850,960.63 is: 32,150,830.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241,148 : 22,850,960.63 = 22,850,960.63 : x
  2. Step 2: Convert to fraction form
    16,241,148/22,850,960.63 = 22,850,960.63/x
  3. Step 3: Cross multiply
    16,241,148x = 22,850,960.63 × 22,850,960.63
  4. Step 4: Simplify right side
    16,241,148x = 522,166,401,485,300.38
  5. Step 5: Solve for x
    x = 522,166,401,485,300.38/16,241,148
  6. Step 6: Final answer
    x = 32,150,830.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.