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Finding the Third Proportional to 5,475,201 and 12,674,733

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Solution

The third proportional to 5,475,201 and 12,674,733 is: 29,341,179.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475,201 : 12,674,733 = 12,674,733 : x
  2. Step 2: Convert to fraction form
    5,475,201/12,674,733 = 12,674,733/x
  3. Step 3: Cross multiply
    5,475,201x = 12,674,733 × 12,674,733
  4. Step 4: Simplify right side
    5,475,201x = 160,648,856,621,289
  5. Step 5: Solve for x
    x = 160,648,856,621,289/5,475,201
  6. Step 6: Final answer
    x = 29,341,179.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.