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Finding the Third Proportional to 13,410,018 and 29,855,214

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Solution

The third proportional to 13,410,018 and 29,855,214 is: 66,467,755.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410,018 : 29,855,214 = 29,855,214 : x
  2. Step 2: Convert to fraction form
    13,410,018/29,855,214 = 29,855,214/x
  3. Step 3: Cross multiply
    13,410,018x = 29,855,214 × 29,855,214
  4. Step 4: Simplify right side
    13,410,018x = 891,333,802,985,796
  5. Step 5: Solve for x
    x = 891,333,802,985,796/13,410,018
  6. Step 6: Final answer
    x = 66,467,755.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.