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Finding the Third Proportional to 419,162,079,000 and 911,765,691,492

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Solution

The third proportional to 419,162,079,000 and 911,765,691,492 is: 1,983,282,166,567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,162,079,000 : 911,765,691,492 = 911,765,691,492 : x
  2. Step 2: Convert to fraction form
    419,162,079,000/911,765,691,492 = 911,765,691,492/x
  3. Step 3: Cross multiply
    419,162,079,000x = 911,765,691,492 × 911,765,691,492
  4. Step 4: Simplify right side
    419,162,079,000x = 831,316,676,181,884,936,388,608
  5. Step 5: Solve for x
    x = 831,316,676,181,884,936,388,608/419,162,079,000
  6. Step 6: Final answer
    x = 1,983,282,166,567.09

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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.