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Finding the Third Proportional to 6,540,684 and 10,039,836

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Solution

The third proportional to 6,540,684 and 10,039,836 is: 15,410,973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540,684 : 10,039,836 = 10,039,836 : x
  2. Step 2: Convert to fraction form
    6,540,684/10,039,836 = 10,039,836/x
  3. Step 3: Cross multiply
    6,540,684x = 10,039,836 × 10,039,836
  4. Step 4: Simplify right side
    6,540,684x = 100,798,306,906,896
  5. Step 5: Solve for x
    x = 100,798,306,906,896/6,540,684
  6. Step 6: Final answer
    x = 15,410,973.36

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.