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Finding the Third Proportional to 7,570,631 and 16,419,015

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Solution

The third proportional to 7,570,631 and 16,419,015 is: 35,609,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570,631 : 16,419,015 = 16,419,015 : x
  2. Step 2: Convert to fraction form
    7,570,631/16,419,015 = 16,419,015/x
  3. Step 3: Cross multiply
    7,570,631x = 16,419,015 × 16,419,015
  4. Step 4: Simplify right side
    7,570,631x = 269,584,053,570,225
  5. Step 5: Solve for x
    x = 269,584,053,570,225/7,570,631
  6. Step 6: Final answer
    x = 35,609,192.10

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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.