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Finding the Third Proportional to 6,259,690 and 13,714,940

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Solution

The third proportional to 6,259,690 and 13,714,940 is: 30,049,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259,690 : 13,714,940 = 13,714,940 : x
  2. Step 2: Convert to fraction form
    6,259,690/13,714,940 = 13,714,940/x
  3. Step 3: Cross multiply
    6,259,690x = 13,714,940 × 13,714,940
  4. Step 4: Simplify right side
    6,259,690x = 188,099,579,203,600
  5. Step 5: Solve for x
    x = 188,099,579,203,600/6,259,690
  6. Step 6: Final answer
    x = 30,049,344.17

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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.