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Finding the Third Proportional to 9,493,922 and 14,691,419

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Solution

The third proportional to 9,493,922 and 14,691,419 is: 22,734,312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493,922 : 14,691,419 = 14,691,419 : x
  2. Step 2: Convert to fraction form
    9,493,922/14,691,419 = 14,691,419/x
  3. Step 3: Cross multiply
    9,493,922x = 14,691,419 × 14,691,419
  4. Step 4: Simplify right side
    9,493,922x = 215,837,792,233,561
  5. Step 5: Solve for x
    x = 215,837,792,233,561/9,493,922
  6. Step 6: Final answer
    x = 22,734,312.78

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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.