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Finding the Third Proportional to 10,366,829 and 13,955,817

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Solution

The third proportional to 10,366,829 and 13,955,817 is: 18,787,309.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366,829 : 13,955,817 = 13,955,817 : x
  2. Step 2: Convert to fraction form
    10,366,829/13,955,817 = 13,955,817/x
  3. Step 3: Cross multiply
    10,366,829x = 13,955,817 × 13,955,817
  4. Step 4: Simplify right side
    10,366,829x = 194,764,828,137,489
  5. Step 5: Solve for x
    x = 194,764,828,137,489/10,366,829
  6. Step 6: Final answer
    x = 18,787,309.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.