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Finding the Third Proportional to 382,807,749 and 839,727,903

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Solution

The third proportional to 382,807,749 and 839,727,903 is: 1,842,028,937.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,807,749 : 839,727,903 = 839,727,903 : x
  2. Step 2: Convert to fraction form
    382,807,749/839,727,903 = 839,727,903/x
  3. Step 3: Cross multiply
    382,807,749x = 839,727,903 × 839,727,903
  4. Step 4: Simplify right side
    382,807,749x = 705,142,951,076,777,472
  5. Step 5: Solve for x
    x = 705,142,951,076,777,472/382,807,749
  6. Step 6: Final answer
    x = 1,842,028,937.29

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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.