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Finding the Third Proportional to 51,173,601 and 73,178,847

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Solution

The third proportional to 51,173,601 and 73,178,847 is: 104,646,605.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,173,601 : 73,178,847 = 73,178,847 : x
  2. Step 2: Convert to fraction form
    51,173,601/73,178,847 = 73,178,847/x
  3. Step 3: Cross multiply
    51,173,601x = 73,178,847 × 73,178,847
  4. Step 4: Simplify right side
    51,173,601x = 5,355,143,648,249,409
  5. Step 5: Solve for x
    x = 5,355,143,648,249,409/51,173,601
  6. Step 6: Final answer
    x = 104,646,605.74

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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.