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Finding the Third Proportional to 7,208,986 and 10,078,647

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Solution

The third proportional to 7,208,986 and 10,078,647 is: 14,090,625.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208,986 : 10,078,647 = 10,078,647 : x
  2. Step 2: Convert to fraction form
    7,208,986/10,078,647 = 10,078,647/x
  3. Step 3: Cross multiply
    7,208,986x = 10,078,647 × 10,078,647
  4. Step 4: Simplify right side
    7,208,986x = 101,579,125,350,609
  5. Step 5: Solve for x
    x = 101,579,125,350,609/7,208,986
  6. Step 6: Final answer
    x = 14,090,625.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.