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Finding the Third Proportional to 19,474,682 and 30,314,319

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Solution

The third proportional to 19,474,682 and 30,314,319 is: 47,187,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,474,682 : 30,314,319 = 30,314,319 : x
  2. Step 2: Convert to fraction form
    19,474,682/30,314,319 = 30,314,319/x
  3. Step 3: Cross multiply
    19,474,682x = 30,314,319 × 30,314,319
  4. Step 4: Simplify right side
    19,474,682x = 918,957,936,433,761
  5. Step 5: Solve for x
    x = 918,957,936,433,761/19,474,682
  6. Step 6: Final answer
    x = 47,187,314.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.