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Finding the Third Proportional to 382,807,764 and 839,727,936

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Solution

The third proportional to 382,807,764 and 839,727,936 is: 1,842,029,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,807,764 : 839,727,936 = 839,727,936 : x
  2. Step 2: Convert to fraction form
    382,807,764/839,727,936 = 839,727,936/x
  3. Step 3: Cross multiply
    382,807,764x = 839,727,936 × 839,727,936
  4. Step 4: Simplify right side
    382,807,764x = 705,143,006,498,820,096
  5. Step 5: Solve for x
    x = 705,143,006,498,820,096/382,807,764
  6. Step 6: Final answer
    x = 1,842,029,009.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.