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Finding the Third Proportional to 8,311,217,841 and 18,284,662,764

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Solution

The third proportional to 8,311,217,841 and 18,284,662,764 is: 40,226,221,811.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311,217,841 : 18,284,662,764 = 18,284,662,764 : x
  2. Step 2: Convert to fraction form
    8,311,217,841/18,284,662,764 = 18,284,662,764/x
  3. Step 3: Cross multiply
    8,311,217,841x = 18,284,662,764 × 18,284,662,764
  4. Step 4: Simplify right side
    8,311,217,841x = 334,328,892,393,208,152,064
  5. Step 5: Solve for x
    x = 334,328,892,393,208,152,064/8,311,217,841
  6. Step 6: Final answer
    x = 40,226,221,811.19

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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.