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Finding the Third Proportional to 6,769,602 and 14,286,429

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Solution

The third proportional to 6,769,602 and 14,286,429 is: 30,149,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769,602 : 14,286,429 = 14,286,429 : x
  2. Step 2: Convert to fraction form
    6,769,602/14,286,429 = 14,286,429/x
  3. Step 3: Cross multiply
    6,769,602x = 14,286,429 × 14,286,429
  4. Step 4: Simplify right side
    6,769,602x = 204,102,053,572,041
  5. Step 5: Solve for x
    x = 204,102,053,572,041/6,769,602
  6. Step 6: Final answer
    x = 30,149,786.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.