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Finding the Third Proportional to 6,381,498 and 13,660,005

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Solution

The third proportional to 6,381,498 and 13,660,005 is: 29,240,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381,498 : 13,660,005 = 13,660,005 : x
  2. Step 2: Convert to fraction form
    6,381,498/13,660,005 = 13,660,005/x
  3. Step 3: Cross multiply
    6,381,498x = 13,660,005 × 13,660,005
  4. Step 4: Simplify right side
    6,381,498x = 186,595,736,600,025
  5. Step 5: Solve for x
    x = 186,595,736,600,025/6,381,498
  6. Step 6: Final answer
    x = 29,240,115.19

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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.