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Finding the Third Proportional to 6,837,284 and 14,589,872

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Solution

The third proportional to 6,837,284 and 14,589,872 is: 31,132,883.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837,284 : 14,589,872 = 14,589,872 : x
  2. Step 2: Convert to fraction form
    6,837,284/14,589,872 = 14,589,872/x
  3. Step 3: Cross multiply
    6,837,284x = 14,589,872 × 14,589,872
  4. Step 4: Simplify right side
    6,837,284x = 212,864,364,976,384
  5. Step 5: Solve for x
    x = 212,864,364,976,384/6,837,284
  6. Step 6: Final answer
    x = 31,132,883.32

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.