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Finding the Third Proportional to 493,221,800 and 1,073,270,780.50

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Solution

The third proportional to 493,221,800 and 1,073,270,780.50 is: 2,335,481,051.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,221,800 : 1,073,270,780.50 = 1,073,270,780.50 : x
  2. Step 2: Convert to fraction form
    493,221,800/1,073,270,780.50 = 1,073,270,780.50/x
  3. Step 3: Cross multiply
    493,221,800x = 1,073,270,780.50 × 1,073,270,780.50
  4. Step 4: Simplify right side
    493,221,800x = 1,151,910,168,275,079,168
  5. Step 5: Solve for x
    x = 1,151,910,168,275,079,168/493,221,800
  6. Step 6: Final answer
    x = 2,335,481,051.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.