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Finding the Third Proportional to 10,606,680 and 13,834,077

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Solution

The third proportional to 10,606,680 and 13,834,077 is: 18,043,505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606,680 : 13,834,077 = 13,834,077 : x
  2. Step 2: Convert to fraction form
    10,606,680/13,834,077 = 13,834,077/x
  3. Step 3: Cross multiply
    10,606,680x = 13,834,077 × 13,834,077
  4. Step 4: Simplify right side
    10,606,680x = 191,381,686,441,929
  5. Step 5: Solve for x
    x = 191,381,686,441,929/10,606,680
  6. Step 6: Final answer
    x = 18,043,505.27

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.