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Finding the Third Proportional to 535,086,306 and 1,175,397,928

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Solution

The third proportional to 535,086,306 and 1,175,397,928 is: 2,581,939,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,086,306 : 1,175,397,928 = 1,175,397,928 : x
  2. Step 2: Convert to fraction form
    535,086,306/1,175,397,928 = 1,175,397,928/x
  3. Step 3: Cross multiply
    535,086,306x = 1,175,397,928 × 1,175,397,928
  4. Step 4: Simplify right side
    535,086,306x = 1,381,560,289,146,693,120
  5. Step 5: Solve for x
    x = 1,381,560,289,146,693,120/535,086,306
  6. Step 6: Final answer
    x = 2,581,939,163.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.