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Finding the Third Proportional to 180,669,116,916 and 273,331,130,619

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Solution

The third proportional to 180,669,116,916 and 273,331,130,619 is: 413,517,862,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,669,116,916 : 273,331,130,619 = 273,331,130,619 : x
  2. Step 2: Convert to fraction form
    180,669,116,916/273,331,130,619 = 273,331,130,619/x
  3. Step 3: Cross multiply
    180,669,116,916x = 273,331,130,619 × 273,331,130,619
  4. Step 4: Simplify right side
    180,669,116,916x = 74,709,906,965,460,837,990,400
  5. Step 5: Solve for x
    x = 74,709,906,965,460,837,990,400/180,669,116,916
  6. Step 6: Final answer
    x = 413,517,862,049.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.