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Finding the Third Proportional to 6,195,909 and 13,421,166

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Solution

The third proportional to 6,195,909 and 13,421,166 is: 29,072,037.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195,909 : 13,421,166 = 13,421,166 : x
  2. Step 2: Convert to fraction form
    6,195,909/13,421,166 = 13,421,166/x
  3. Step 3: Cross multiply
    6,195,909x = 13,421,166 × 13,421,166
  4. Step 4: Simplify right side
    6,195,909x = 180,127,696,799,556
  5. Step 5: Solve for x
    x = 180,127,696,799,556/6,195,909
  6. Step 6: Final answer
    x = 29,072,037.18

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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.