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Finding the Third Proportional to 9,576,900 and 20,673,140

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Solution

The third proportional to 9,576,900 and 20,673,140 is: 44,625,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576,900 : 20,673,140 = 20,673,140 : x
  2. Step 2: Convert to fraction form
    9,576,900/20,673,140 = 20,673,140/x
  3. Step 3: Cross multiply
    9,576,900x = 20,673,140 × 20,673,140
  4. Step 4: Simplify right side
    9,576,900x = 427,378,717,459,600
  5. Step 5: Solve for x
    x = 427,378,717,459,600/9,576,900
  6. Step 6: Final answer
    x = 44,625,997.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.