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Finding the Third Proportional to 10,678,032 and 25,195,912

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Solution

The third proportional to 10,678,032 and 25,195,912 is: 59,452,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678,032 : 25,195,912 = 25,195,912 : x
  2. Step 2: Convert to fraction form
    10,678,032/25,195,912 = 25,195,912/x
  3. Step 3: Cross multiply
    10,678,032x = 25,195,912 × 25,195,912
  4. Step 4: Simplify right side
    10,678,032x = 634,833,981,511,744
  5. Step 5: Solve for x
    x = 634,833,981,511,744/10,678,032
  6. Step 6: Final answer
    x = 59,452,339.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.