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Finding the Third Proportional to 2,030,524,953,823.70 and 3,071,902,763,857.30

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Solution

The third proportional to 2,030,524,953,823.70 and 3,071,902,763,857.30 is: 4,647,363,024,435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,524,953,823.70 : 3,071,902,763,857.30 = 3,071,902,763,857.30 : x
  2. Step 2: Convert to fraction form
    2,030,524,953,823.70/3,071,902,763,857.30 = 3,071,902,763,857.30/x
  3. Step 3: Cross multiply
    2,030,524,953,823.70x = 3,071,902,763,857.30 × 3,071,902,763,857.30
  4. Step 4: Simplify right side
    2,030,524,953,823.70x = 9,436,586,590,594,117,492,801,536
  5. Step 5: Solve for x
    x = 9,436,586,590,594,117,492,801,536/2,030,524,953,823.70
  6. Step 6: Final answer
    x = 4,647,363,024,435.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.