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Finding the Third Proportional to 379,987,734 and 829,936,140

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Solution

The third proportional to 379,987,734 and 829,936,140 is: 1,812,674,291.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,987,734 : 829,936,140 = 829,936,140 : x
  2. Step 2: Convert to fraction form
    379,987,734/829,936,140 = 829,936,140/x
  3. Step 3: Cross multiply
    379,987,734x = 829,936,140 × 829,936,140
  4. Step 4: Simplify right side
    379,987,734x = 688,793,996,478,099,584
  5. Step 5: Solve for x
    x = 688,793,996,478,099,584/379,987,734
  6. Step 6: Final answer
    x = 1,812,674,291.42

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Why These Related Problems?

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