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Finding the Third Proportional to 55,781,797 and 120,526,766

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Solution

The third proportional to 55,781,797 and 120,526,766 is: 260,420,103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,781,797 : 120,526,766 = 120,526,766 : x
  2. Step 2: Convert to fraction form
    55,781,797/120,526,766 = 120,526,766/x
  3. Step 3: Cross multiply
    55,781,797x = 120,526,766 × 120,526,766
  4. Step 4: Simplify right side
    55,781,797x = 14,526,701,322,418,756
  5. Step 5: Solve for x
    x = 14,526,701,322,418,756/55,781,797
  6. Step 6: Final answer
    x = 260,420,103.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.