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Finding the Third Proportional to 19,474,316 and 30,273,474

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Solution

The third proportional to 19,474,316 and 30,273,474 is: 47,061,125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,474,316 : 30,273,474 = 30,273,474 : x
  2. Step 2: Convert to fraction form
    19,474,316/30,273,474 = 30,273,474/x
  3. Step 3: Cross multiply
    19,474,316x = 30,273,474 × 30,273,474
  4. Step 4: Simplify right side
    19,474,316x = 916,483,228,028,676
  5. Step 5: Solve for x
    x = 916,483,228,028,676/19,474,316
  6. Step 6: Final answer
    x = 47,061,125.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.