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Finding the Third Proportional to 1,898,862,715,185.20 and 4,073,376,380,044.40

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Solution

The third proportional to 1,898,862,715,185.20 and 4,073,376,380,044.40 is: 8,738,069,898,794.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898,862,715,185.20 : 4,073,376,380,044.40 = 4,073,376,380,044.40 : x
  2. Step 2: Convert to fraction form
    1,898,862,715,185.20/4,073,376,380,044.40 = 4,073,376,380,044.40/x
  3. Step 3: Cross multiply
    1,898,862,715,185.20x = 4,073,376,380,044.40 × 4,073,376,380,044.40
  4. Step 4: Simplify right side
    1,898,862,715,185.20x = 16,592,395,133,503,620,274,716,672
  5. Step 5: Solve for x
    x = 16,592,395,133,503,620,274,716,672/1,898,862,715,185.20
  6. Step 6: Final answer
    x = 8,738,069,898,794.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.