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Finding the Third Proportional to 6,195,918 and 13,421,184

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Solution

The third proportional to 6,195,918 and 13,421,184 is: 29,072,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195,918 : 13,421,184 = 13,421,184 : x
  2. Step 2: Convert to fraction form
    6,195,918/13,421,184 = 13,421,184/x
  3. Step 3: Cross multiply
    6,195,918x = 13,421,184 × 13,421,184
  4. Step 4: Simplify right side
    6,195,918x = 180,128,179,961,856
  5. Step 5: Solve for x
    x = 180,128,179,961,856/6,195,918
  6. Step 6: Final answer
    x = 29,072,072.93

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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.