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Finding the Third Proportional to 51,072,992 and 71,665,518

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Solution

The third proportional to 51,072,992 and 71,665,518 is: 100,560,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,072,992 : 71,665,518 = 71,665,518 : x
  2. Step 2: Convert to fraction form
    51,072,992/71,665,518 = 71,665,518/x
  3. Step 3: Cross multiply
    51,072,992x = 71,665,518 × 71,665,518
  4. Step 4: Simplify right side
    51,072,992x = 5,135,946,470,208,324
  5. Step 5: Solve for x
    x = 5,135,946,470,208,324/51,072,992
  6. Step 6: Final answer
    x = 100,560,908.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.