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Finding the Third Proportional to 379,987,728 and 829,936,128

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Solution

The third proportional to 379,987,728 and 829,936,128 is: 1,812,674,267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,987,728 : 829,936,128 = 829,936,128 : x
  2. Step 2: Convert to fraction form
    379,987,728/829,936,128 = 829,936,128/x
  3. Step 3: Cross multiply
    379,987,728x = 829,936,128 × 829,936,128
  4. Step 4: Simplify right side
    379,987,728x = 688,793,976,559,632,384
  5. Step 5: Solve for x
    x = 688,793,976,559,632,384/379,987,728
  6. Step 6: Final answer
    x = 1,812,674,267.63

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