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Finding the Third Proportional to 6,196,048 and 13,421,443

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Solution

The third proportional to 6,196,048 and 13,421,443 is: 29,072,585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196,048 : 13,421,443 = 13,421,443 : x
  2. Step 2: Convert to fraction form
    6,196,048/13,421,443 = 13,421,443/x
  3. Step 3: Cross multiply
    6,196,048x = 13,421,443 × 13,421,443
  4. Step 4: Simplify right side
    6,196,048x = 180,135,132,202,249
  5. Step 5: Solve for x
    x = 180,135,132,202,249/6,196,048
  6. Step 6: Final answer
    x = 29,072,585.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.