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Finding the Third Proportional to 465,711,108 and 945,107,400

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Solution

The third proportional to 465,711,108 and 945,107,400 is: 1,917,987,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,711,108 : 945,107,400 = 945,107,400 : x
  2. Step 2: Convert to fraction form
    465,711,108/945,107,400 = 945,107,400/x
  3. Step 3: Cross multiply
    465,711,108x = 945,107,400 × 945,107,400
  4. Step 4: Simplify right side
    465,711,108x = 893,227,997,534,759,936
  5. Step 5: Solve for x
    x = 893,227,997,534,759,936/465,711,108
  6. Step 6: Final answer
    x = 1,917,987,314.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.