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Finding the Third Proportional to 6,381,508 and 13,660,029

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Solution

The third proportional to 6,381,508 and 13,660,029 is: 29,240,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381,508 : 13,660,029 = 13,660,029 : x
  2. Step 2: Convert to fraction form
    6,381,508/13,660,029 = 13,660,029/x
  3. Step 3: Cross multiply
    6,381,508x = 13,660,029 × 13,660,029
  4. Step 4: Simplify right side
    6,381,508x = 186,596,392,280,841
  5. Step 5: Solve for x
    x = 186,596,392,280,841/6,381,508
  6. Step 6: Final answer
    x = 29,240,172.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.