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Finding the Third Proportional to 989,177,953.50 and 1,530,251,493.75

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Solution

The third proportional to 989,177,953.50 and 1,530,251,493.75 is: 2,367,288,540.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,177,953.50 : 1,530,251,493.75 = 1,530,251,493.75 : x
  2. Step 2: Convert to fraction form
    989,177,953.50/1,530,251,493.75 = 1,530,251,493.75/x
  3. Step 3: Cross multiply
    989,177,953.50x = 1,530,251,493.75 × 1,530,251,493.75
  4. Step 4: Simplify right side
    989,177,953.50x = 2,341,669,634,124,106,240
  5. Step 5: Solve for x
    x = 2,341,669,634,124,106,240/989,177,953.50
  6. Step 6: Final answer
    x = 2,367,288,540.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.