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Finding the Third Proportional to 18,894,510,128 and 40,593,016,480

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Solution

The third proportional to 18,894,510,128 and 40,593,016,480 is: 87,210,146,004.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,894,510,128 : 40,593,016,480 = 40,593,016,480 : x
  2. Step 2: Convert to fraction form
    18,894,510,128/40,593,016,480 = 40,593,016,480/x
  3. Step 3: Cross multiply
    18,894,510,128x = 40,593,016,480 × 40,593,016,480
  4. Step 4: Simplify right side
    18,894,510,128x = 1,647,792,986,945,551,597,568
  5. Step 5: Solve for x
    x = 1,647,792,986,945,551,597,568/18,894,510,128
  6. Step 6: Final answer
    x = 87,210,146,004.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.