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Finding the Third Proportional to 8,311,217,880 and 18,284,662,840

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Solution

The third proportional to 8,311,217,880 and 18,284,662,840 is: 40,226,221,956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311,217,880 : 18,284,662,840 = 18,284,662,840 : x
  2. Step 2: Convert to fraction form
    8,311,217,880/18,284,662,840 = 18,284,662,840/x
  3. Step 3: Cross multiply
    8,311,217,880x = 18,284,662,840 × 18,284,662,840
  4. Step 4: Simplify right side
    8,311,217,880x = 334,328,895,172,476,862,464
  5. Step 5: Solve for x
    x = 334,328,895,172,476,862,464/8,311,217,880
  6. Step 6: Final answer
    x = 40,226,221,956.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.