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Finding the Third Proportional to 1,843,062,432 and 4,061,799,678

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Solution

The third proportional to 1,843,062,432 and 4,061,799,678 is: 8,951,523,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,062,432 : 4,061,799,678 = 4,061,799,678 : x
  2. Step 2: Convert to fraction form
    1,843,062,432/4,061,799,678 = 4,061,799,678/x
  3. Step 3: Cross multiply
    1,843,062,432x = 4,061,799,678 × 4,061,799,678
  4. Step 4: Simplify right side
    1,843,062,432x = 16,498,216,624,200,904,704
  5. Step 5: Solve for x
    x = 16,498,216,624,200,904,704/1,843,062,432
  6. Step 6: Final answer
    x = 8,951,523,474.06

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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.