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Finding the Third Proportional to 55,774,926 and 120,811,824

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Solution

The third proportional to 55,774,926 and 120,811,824 is: 261,685,633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,774,926 : 120,811,824 = 120,811,824 : x
  2. Step 2: Convert to fraction form
    55,774,926/120,811,824 = 120,811,824/x
  3. Step 3: Cross multiply
    55,774,926x = 120,811,824 × 120,811,824
  4. Step 4: Simplify right side
    55,774,926x = 14,595,496,818,206,976
  5. Step 5: Solve for x
    x = 14,595,496,818,206,976/55,774,926
  6. Step 6: Final answer
    x = 261,685,633.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.