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Finding the Third Proportional to 383,321,648 and 833,805,176

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Solution

The third proportional to 383,321,648 and 833,805,176 is: 1,813,701,561.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,321,648 : 833,805,176 = 833,805,176 : x
  2. Step 2: Convert to fraction form
    383,321,648/833,805,176 = 833,805,176/x
  3. Step 3: Cross multiply
    383,321,648x = 833,805,176 × 833,805,176
  4. Step 4: Simplify right side
    383,321,648x = 695,231,071,524,390,912
  5. Step 5: Solve for x
    x = 695,231,071,524,390,912/383,321,648
  6. Step 6: Final answer
    x = 1,813,701,561.47

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Why These Related Problems?

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