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Finding the Third Proportional to 923,914,742 and 1,924,253,472

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Solution

The third proportional to 923,914,742 and 1,924,253,472 is: 4,007,676,527.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,914,742 : 1,924,253,472 = 1,924,253,472 : x
  2. Step 2: Convert to fraction form
    923,914,742/1,924,253,472 = 1,924,253,472/x
  3. Step 3: Cross multiply
    923,914,742x = 1,924,253,472 × 1,924,253,472
  4. Step 4: Simplify right side
    923,914,742x = 3,702,751,424,504,054,784
  5. Step 5: Solve for x
    x = 3,702,751,424,504,054,784/923,914,742
  6. Step 6: Final answer
    x = 4,007,676,527.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.