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Finding the Third Proportional to 10,736,927 and 16,261,680

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Solution

The third proportional to 10,736,927 and 16,261,680 is: 24,629,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,736,927 : 16,261,680 = 16,261,680 : x
  2. Step 2: Convert to fraction form
    10,736,927/16,261,680 = 16,261,680/x
  3. Step 3: Cross multiply
    10,736,927x = 16,261,680 × 16,261,680
  4. Step 4: Simplify right side
    10,736,927x = 264,442,236,422,400
  5. Step 5: Solve for x
    x = 264,442,236,422,400/10,736,927
  6. Step 6: Final answer
    x = 24,629,229.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.