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Finding the Third Proportional to 1,843,062,489.75 and 4,061,799,820.50

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Solution

The third proportional to 1,843,062,489.75 and 4,061,799,820.50 is: 8,951,523,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,062,489.75 : 4,061,799,820.50 = 4,061,799,820.50 : x
  2. Step 2: Convert to fraction form
    1,843,062,489.75/4,061,799,820.50 = 4,061,799,820.50/x
  3. Step 3: Cross multiply
    1,843,062,489.75x = 4,061,799,820.50 × 4,061,799,820.50
  4. Step 4: Simplify right side
    1,843,062,489.75x = 16,498,217,781,813,831,680
  5. Step 5: Solve for x
    x = 16,498,217,781,813,831,680/1,843,062,489.75
  6. Step 6: Final answer
    x = 8,951,523,821.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.