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Finding the Third Proportional to 5,309,904 and 11,652,000

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Solution

The third proportional to 5,309,904 and 11,652,000 is: 25,569,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309,904 : 11,652,000 = 11,652,000 : x
  2. Step 2: Convert to fraction form
    5,309,904/11,652,000 = 11,652,000/x
  3. Step 3: Cross multiply
    5,309,904x = 11,652,000 × 11,652,000
  4. Step 4: Simplify right side
    5,309,904x = 135,769,104,000,000
  5. Step 5: Solve for x
    x = 135,769,104,000,000/5,309,904
  6. Step 6: Final answer
    x = 25,569,031.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.