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Finding the Third Proportional to 5,899,710 and 12,970,197

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Solution

The third proportional to 5,899,710 and 12,970,197 is: 28,514,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899,710 : 12,970,197 = 12,970,197 : x
  2. Step 2: Convert to fraction form
    5,899,710/12,970,197 = 12,970,197/x
  3. Step 3: Cross multiply
    5,899,710x = 12,970,197 × 12,970,197
  4. Step 4: Simplify right side
    5,899,710x = 168,226,010,218,809
  5. Step 5: Solve for x
    x = 168,226,010,218,809/5,899,710
  6. Step 6: Final answer
    x = 28,514,284.64

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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.