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Finding the Third Proportional to 6,259,684 and 13,714,928

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Solution

The third proportional to 6,259,684 and 13,714,928 is: 30,049,320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259,684 : 13,714,928 = 13,714,928 : x
  2. Step 2: Convert to fraction form
    6,259,684/13,714,928 = 13,714,928/x
  3. Step 3: Cross multiply
    6,259,684x = 13,714,928 × 13,714,928
  4. Step 4: Simplify right side
    6,259,684x = 188,099,250,045,184
  5. Step 5: Solve for x
    x = 188,099,250,045,184/6,259,684
  6. Step 6: Final answer
    x = 30,049,320.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.