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Finding the Third Proportional to 81,113,616 and 180,362,544

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Solution

The third proportional to 81,113,616 and 180,362,544 is: 401,050,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,113,616 : 180,362,544 = 180,362,544 : x
  2. Step 2: Convert to fraction form
    81,113,616/180,362,544 = 180,362,544/x
  3. Step 3: Cross multiply
    81,113,616x = 180,362,544 × 180,362,544
  4. Step 4: Simplify right side
    81,113,616x = 32,530,647,278,151,936
  5. Step 5: Solve for x
    x = 32,530,647,278,151,936/81,113,616
  6. Step 6: Final answer
    x = 401,050,389.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.