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Finding the Third Proportional to 5,470,584 and 11,904,400

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Solution

The third proportional to 5,470,584 and 11,904,400 is: 25,904,864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470,584 : 11,904,400 = 11,904,400 : x
  2. Step 2: Convert to fraction form
    5,470,584/11,904,400 = 11,904,400/x
  3. Step 3: Cross multiply
    5,470,584x = 11,904,400 × 11,904,400
  4. Step 4: Simplify right side
    5,470,584x = 141,714,739,360,000
  5. Step 5: Solve for x
    x = 141,714,739,360,000/5,470,584
  6. Step 6: Final answer
    x = 25,904,864.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.