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Finding the Third Proportional to 4,533,738 and 9,579,201

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Solution

The third proportional to 4,533,738 and 9,579,201 is: 20,239,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533,738 : 9,579,201 = 9,579,201 : x
  2. Step 2: Convert to fraction form
    4,533,738/9,579,201 = 9,579,201/x
  3. Step 3: Cross multiply
    4,533,738x = 9,579,201 × 9,579,201
  4. Step 4: Simplify right side
    4,533,738x = 91,761,091,798,401
  5. Step 5: Solve for x
    x = 91,761,091,798,401/4,533,738
  6. Step 6: Final answer
    x = 20,239,610.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.