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Finding the Third Proportional to 8,517,016,084 and 18,533,773,112

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Solution

The third proportional to 8,517,016,084 and 18,533,773,112 is: 40,331,113,899.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517,016,084 : 18,533,773,112 = 18,533,773,112 : x
  2. Step 2: Convert to fraction form
    8,517,016,084/18,533,773,112 = 18,533,773,112/x
  3. Step 3: Cross multiply
    8,517,016,084x = 18,533,773,112 × 18,533,773,112
  4. Step 4: Simplify right side
    8,517,016,084x = 343,500,745,767,094,190,080
  5. Step 5: Solve for x
    x = 343,500,745,767,094,190,080/8,517,016,084
  6. Step 6: Final answer
    x = 40,331,113,899.43

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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.