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Finding the Third Proportional to 2,877,069 and 6,643,182

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Solution

The third proportional to 2,877,069 and 6,643,182 is: 15,339,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877,069 : 6,643,182 = 6,643,182 : x
  2. Step 2: Convert to fraction form
    2,877,069/6,643,182 = 6,643,182/x
  3. Step 3: Cross multiply
    2,877,069x = 6,643,182 × 6,643,182
  4. Step 4: Simplify right side
    2,877,069x = 44,131,867,085,124
  5. Step 5: Solve for x
    x = 44,131,867,085,124/2,877,069
  6. Step 6: Final answer
    x = 15,339,175.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.