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Finding the Third Proportional to 51,173,580 and 73,178,823

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Solution

The third proportional to 51,173,580 and 73,178,823 is: 104,646,580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,173,580 : 73,178,823 = 73,178,823 : x
  2. Step 2: Convert to fraction form
    51,173,580/73,178,823 = 73,178,823/x
  3. Step 3: Cross multiply
    51,173,580x = 73,178,823 × 73,178,823
  4. Step 4: Simplify right side
    51,173,580x = 5,355,140,135,665,329
  5. Step 5: Solve for x
    x = 5,355,140,135,665,329/51,173,580
  6. Step 6: Final answer
    x = 104,646,580.05

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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.