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Finding the Third Proportional to 81,114,048 and 180,363,360

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Solution

The third proportional to 81,114,048 and 180,363,360 is: 401,051,882.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,114,048 : 180,363,360 = 180,363,360 : x
  2. Step 2: Convert to fraction form
    81,114,048/180,363,360 = 180,363,360/x
  3. Step 3: Cross multiply
    81,114,048x = 180,363,360 × 180,363,360
  4. Step 4: Simplify right side
    81,114,048x = 32,530,941,630,489,600
  5. Step 5: Solve for x
    x = 32,530,941,630,489,600/81,114,048
  6. Step 6: Final answer
    x = 401,051,882.29

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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.