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Finding the Third Proportional to 8,517,015,810 and 18,533,772,540

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Solution

The third proportional to 8,517,015,810 and 18,533,772,540 is: 40,331,112,707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517,015,810 : 18,533,772,540 = 18,533,772,540 : x
  2. Step 2: Convert to fraction form
    8,517,015,810/18,533,772,540 = 18,533,772,540/x
  3. Step 3: Cross multiply
    8,517,015,810x = 18,533,772,540 × 18,533,772,540
  4. Step 4: Simplify right side
    8,517,015,810x = 343,500,724,564,458,078,208
  5. Step 5: Solve for x
    x = 343,500,724,564,458,078,208/8,517,015,810
  6. Step 6: Final answer
    x = 40,331,112,707.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.