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Finding the Third Proportional to 359,905,011,612 and 773,974,489,956

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Solution

The third proportional to 359,905,011,612 and 773,974,489,956 is: 1,664,429,479,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,905,011,612 : 773,974,489,956 = 773,974,489,956 : x
  2. Step 2: Convert to fraction form
    359,905,011,612/773,974,489,956 = 773,974,489,956/x
  3. Step 3: Cross multiply
    359,905,011,612x = 773,974,489,956 × 773,974,489,956
  4. Step 4: Simplify right side
    359,905,011,612x = 599,036,511,102,650,344,800,256
  5. Step 5: Solve for x
    x = 599,036,511,102,650,344,800,256/359,905,011,612
  6. Step 6: Final answer
    x = 1,664,429,479,377.32

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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.