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Finding the Third Proportional to 5,899,749 and 12,970,281

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Solution

The third proportional to 5,899,749 and 12,970,281 is: 28,514,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899,749 : 12,970,281 = 12,970,281 : x
  2. Step 2: Convert to fraction form
    5,899,749/12,970,281 = 12,970,281/x
  3. Step 3: Cross multiply
    5,899,749x = 12,970,281 × 12,970,281
  4. Step 4: Simplify right side
    5,899,749x = 168,228,189,218,961
  5. Step 5: Solve for x
    x = 168,228,189,218,961/5,899,749
  6. Step 6: Final answer
    x = 28,514,465.48

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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.