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Finding the Third Proportional to 441,910,020.13 and 664,710,004.31

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Solution

The third proportional to 441,910,020.13 and 664,710,004.31 is: 999,840,170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,910,020.13 : 664,710,004.31 = 664,710,004.31 : x
  2. Step 2: Convert to fraction form
    441,910,020.13/664,710,004.31 = 664,710,004.31/x
  3. Step 3: Cross multiply
    441,910,020.13x = 664,710,004.31 × 664,710,004.31
  4. Step 4: Simplify right side
    441,910,020.13x = 441,839,389,833,123,776
  5. Step 5: Solve for x
    x = 441,839,389,833,123,776/441,910,020.13
  6. Step 6: Final answer
    x = 999,840,170.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.