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Finding the Third Proportional to 5,899,705 and 12,970,189

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Solution

The third proportional to 5,899,705 and 12,970,189 is: 28,514,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899,705 : 12,970,189 = 12,970,189 : x
  2. Step 2: Convert to fraction form
    5,899,705/12,970,189 = 12,970,189/x
  3. Step 3: Cross multiply
    5,899,705x = 12,970,189 × 12,970,189
  4. Step 4: Simplify right side
    5,899,705x = 168,225,802,695,721
  5. Step 5: Solve for x
    x = 168,225,802,695,721/5,899,705
  6. Step 6: Final answer
    x = 28,514,273.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.