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Finding the Third Proportional to 180,669,116,928 and 273,331,130,640

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Solution

The third proportional to 180,669,116,928 and 273,331,130,640 is: 413,517,862,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,669,116,928 : 273,331,130,640 = 273,331,130,640 : x
  2. Step 2: Convert to fraction form
    180,669,116,928/273,331,130,640 = 273,331,130,640/x
  3. Step 3: Cross multiply
    180,669,116,928x = 273,331,130,640 × 273,331,130,640
  4. Step 4: Simplify right side
    180,669,116,928x = 74,709,906,976,940,748,701,696
  5. Step 5: Solve for x
    x = 74,709,906,976,940,748,701,696/180,669,116,928
  6. Step 6: Final answer
    x = 413,517,862,085.49

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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.