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Finding the Third Proportional to 4,337,646 and 9,421,997.25

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Solution

The third proportional to 4,337,646 and 9,421,997.25 is: 20,465,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337,646 : 9,421,997.25 = 9,421,997.25 : x
  2. Step 2: Convert to fraction form
    4,337,646/9,421,997.25 = 9,421,997.25/x
  3. Step 3: Cross multiply
    4,337,646x = 9,421,997.25 × 9,421,997.25
  4. Step 4: Simplify right side
    4,337,646x = 88,774,032,179,007.56
  5. Step 5: Solve for x
    x = 88,774,032,179,007.56/4,337,646
  6. Step 6: Final answer
    x = 20,465,946.78

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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.