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Finding the Third Proportional to 311,590,866 and 674,888,150

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Solution

The third proportional to 311,590,866 and 674,888,150 is: 1,461,769,469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,590,866 : 674,888,150 = 674,888,150 : x
  2. Step 2: Convert to fraction form
    311,590,866/674,888,150 = 674,888,150/x
  3. Step 3: Cross multiply
    311,590,866x = 674,888,150 × 674,888,150
  4. Step 4: Simplify right side
    311,590,866x = 455,474,015,010,422,528
  5. Step 5: Solve for x
    x = 455,474,015,010,422,528/311,590,866
  6. Step 6: Final answer
    x = 1,461,769,469.87

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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.