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Finding the Third Proportional to 51,173,578 and 73,178,821

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Solution

The third proportional to 51,173,578 and 73,178,821 is: 104,646,578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,173,578 : 73,178,821 = 73,178,821 : x
  2. Step 2: Convert to fraction form
    51,173,578/73,178,821 = 73,178,821/x
  3. Step 3: Cross multiply
    51,173,578x = 73,178,821 × 73,178,821
  4. Step 4: Simplify right side
    51,173,578x = 5,355,139,842,950,041
  5. Step 5: Solve for x
    x = 5,355,139,842,950,041/51,173,578
  6. Step 6: Final answer
    x = 104,646,578.41

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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.