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Finding the Third Proportional to 12,462,744 and 25,916,199

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Solution

The third proportional to 12,462,744 and 25,916,199 is: 53,892,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462,744 : 25,916,199 = 25,916,199 : x
  2. Step 2: Convert to fraction form
    12,462,744/25,916,199 = 25,916,199/x
  3. Step 3: Cross multiply
    12,462,744x = 25,916,199 × 25,916,199
  4. Step 4: Simplify right side
    12,462,744x = 671,649,370,607,601
  5. Step 5: Solve for x
    x = 671,649,370,607,601/12,462,744
  6. Step 6: Final answer
    x = 53,892,575.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.