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Finding the Third Proportional to 777,121,950 and 1,268,835,867

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Solution

The third proportional to 777,121,950 and 1,268,835,867 is: 2,071,675,439.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,121,950 : 1,268,835,867 = 1,268,835,867 : x
  2. Step 2: Convert to fraction form
    777,121,950/1,268,835,867 = 1,268,835,867/x
  3. Step 3: Cross multiply
    777,121,950x = 1,268,835,867 × 1,268,835,867
  4. Step 4: Simplify right side
    777,121,950x = 1,609,944,457,385,641,728
  5. Step 5: Solve for x
    x = 1,609,944,457,385,641,728/777,121,950
  6. Step 6: Final answer
    x = 2,071,675,439.60

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.