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Finding the Third Proportional to 1,732,213,808 and 4,041,971,912

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Solution

The third proportional to 1,732,213,808 and 4,041,971,912 is: 9,431,593,757.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732,213,808 : 4,041,971,912 = 4,041,971,912 : x
  2. Step 2: Convert to fraction form
    1,732,213,808/4,041,971,912 = 4,041,971,912/x
  3. Step 3: Cross multiply
    1,732,213,808x = 4,041,971,912 × 4,041,971,912
  4. Step 4: Simplify right side
    1,732,213,808x = 16,337,536,937,396,936,704
  5. Step 5: Solve for x
    x = 16,337,536,937,396,936,704/1,732,213,808
  6. Step 6: Final answer
    x = 9,431,593,757.04

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.